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Finding the Third Proportional to 334,557,225 and 724,717,341

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Solution

The third proportional to 334,557,225 and 724,717,341 is: 1,569,881,578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,557,225 : 724,717,341 = 724,717,341 : x
  2. Step 2: Convert to fraction form
    334,557,225/724,717,341 = 724,717,341/x
  3. Step 3: Cross multiply
    334,557,225x = 724,717,341 × 724,717,341
  4. Step 4: Simplify right side
    334,557,225x = 525,215,224,346,110,272
  5. Step 5: Solve for x
    x = 525,215,224,346,110,272/334,557,225
  6. Step 6: Final answer
    x = 1,569,881,578.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.