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Finding the Third Proportional to 387,331 and 838,978

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Solution

The third proportional to 387,331 and 838,978 is: 1,817,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,331 : 838,978 = 838,978 : x
  2. Step 2: Convert to fraction form
    387,331/838,978 = 838,978/x
  3. Step 3: Cross multiply
    387,331x = 838,978 × 838,978
  4. Step 4: Simplify right side
    387,331x = 703,884,084,484
  5. Step 5: Solve for x
    x = 703,884,084,484/387,331
  6. Step 6: Final answer
    x = 1,817,267.62

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