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Finding the Third Proportional to 408,802,264 and 613,053,312

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Solution

The third proportional to 408,802,264 and 613,053,312 is: 919,354,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,802,264 : 613,053,312 = 613,053,312 : x
  2. Step 2: Convert to fraction form
    408,802,264/613,053,312 = 613,053,312/x
  3. Step 3: Cross multiply
    408,802,264x = 613,053,312 × 613,053,312
  4. Step 4: Simplify right side
    408,802,264x = 375,834,363,354,169,344
  5. Step 5: Solve for x
    x = 375,834,363,354,169,344/408,802,264
  6. Step 6: Final answer
    x = 919,354,897.10

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