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Finding the Third Proportional to 354,712 and 725,996

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Solution

The third proportional to 354,712 and 725,996 is: 1,485,910.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,712 : 725,996 = 725,996 : x
  2. Step 2: Convert to fraction form
    354,712/725,996 = 725,996/x
  3. Step 3: Cross multiply
    354,712x = 725,996 × 725,996
  4. Step 4: Simplify right side
    354,712x = 527,070,192,016
  5. Step 5: Solve for x
    x = 527,070,192,016/354,712
  6. Step 6: Final answer
    x = 1,485,910.24

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.