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Finding the Third Proportional to 489,025,260 and 731,599,112.25

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Solution

The third proportional to 489,025,260 and 731,599,112.25 is: 1,094,498,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,025,260 : 731,599,112.25 = 731,599,112.25 : x
  2. Step 2: Convert to fraction form
    489,025,260/731,599,112.25 = 731,599,112.25/x
  3. Step 3: Cross multiply
    489,025,260x = 731,599,112.25 × 731,599,112.25
  4. Step 4: Simplify right side
    489,025,260x = 535,237,261,044,988,096
  5. Step 5: Solve for x
    x = 535,237,261,044,988,096/489,025,260
  6. Step 6: Final answer
    x = 1,094,498,188.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.