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Finding the Third Proportional to 313,450,164 and 731,957,418

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Solution

The third proportional to 313,450,164 and 731,957,418 is: 1,709,240,330.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,450,164 : 731,957,418 = 731,957,418 : x
  2. Step 2: Convert to fraction form
    313,450,164/731,957,418 = 731,957,418/x
  3. Step 3: Cross multiply
    313,450,164x = 731,957,418 × 731,957,418
  4. Step 4: Simplify right side
    313,450,164x = 535,761,661,765,226,752
  5. Step 5: Solve for x
    x = 535,761,661,765,226,752/313,450,164
  6. Step 6: Final answer
    x = 1,709,240,330.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.