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Finding the Third Proportional to 511,746,588.75 and 731,299,210.50

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Solution

The third proportional to 511,746,588.75 and 731,299,210.50 is: 1,045,045,628.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,746,588.75 : 731,299,210.50 = 731,299,210.50 : x
  2. Step 2: Convert to fraction form
    511,746,588.75/731,299,210.50 = 731,299,210.50/x
  3. Step 3: Cross multiply
    511,746,588.75x = 731,299,210.50 × 731,299,210.50
  4. Step 4: Simplify right side
    511,746,588.75x = 534,798,535,277,923,328
  5. Step 5: Solve for x
    x = 534,798,535,277,923,328/511,746,588.75
  6. Step 6: Final answer
    x = 1,045,045,628.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.