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Finding the Third Proportional to 585,558,354 and 780,657,360

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Solution

The third proportional to 585,558,354 and 780,657,360 is: 1,040,760,343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,558,354 : 780,657,360 = 780,657,360 : x
  2. Step 2: Convert to fraction form
    585,558,354/780,657,360 = 780,657,360/x
  3. Step 3: Cross multiply
    585,558,354x = 780,657,360 × 780,657,360
  4. Step 4: Simplify right side
    585,558,354x = 609,425,913,722,169,600
  5. Step 5: Solve for x
    x = 609,425,913,722,169,600/585,558,354
  6. Step 6: Final answer
    x = 1,040,760,343.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.