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Finding the Third Proportional to 313,450,178 and 731,957,449

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Solution

The third proportional to 313,450,178 and 731,957,449 is: 1,709,240,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,450,178 : 731,957,449 = 731,957,449 : x
  2. Step 2: Convert to fraction form
    313,450,178/731,957,449 = 731,957,449/x
  3. Step 3: Cross multiply
    313,450,178x = 731,957,449 × 731,957,449
  4. Step 4: Simplify right side
    313,450,178x = 535,761,707,146,587,584
  5. Step 5: Solve for x
    x = 535,761,707,146,587,584/313,450,178
  6. Step 6: Final answer
    x = 1,709,240,398.47

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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.