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Finding the Third Proportional to 304,317 and 656,748

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Solution

The third proportional to 304,317 and 656,748 is: 1,417,331.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,317 : 656,748 = 656,748 : x
  2. Step 2: Convert to fraction form
    304,317/656,748 = 656,748/x
  3. Step 3: Cross multiply
    304,317x = 656,748 × 656,748
  4. Step 4: Simplify right side
    304,317x = 431,317,935,504
  5. Step 5: Solve for x
    x = 431,317,935,504/304,317
  6. Step 6: Final answer
    x = 1,417,331.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.