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Finding the Third Proportional to 334,673,208 and 728,610,471

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Solution

The third proportional to 334,673,208 and 728,610,471 is: 1,586,243,552.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,673,208 : 728,610,471 = 728,610,471 : x
  2. Step 2: Convert to fraction form
    334,673,208/728,610,471 = 728,610,471/x
  3. Step 3: Cross multiply
    334,673,208x = 728,610,471 × 728,610,471
  4. Step 4: Simplify right side
    334,673,208x = 530,873,218,450,841,856
  5. Step 5: Solve for x
    x = 530,873,218,450,841,856/334,673,208
  6. Step 6: Final answer
    x = 1,586,243,552.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.