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Finding the Third Proportional to 274,902 and 425,655

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Solution

The third proportional to 274,902 and 425,655 is: 659,079.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,902 : 425,655 = 425,655 : x
  2. Step 2: Convert to fraction form
    274,902/425,655 = 425,655/x
  3. Step 3: Cross multiply
    274,902x = 425,655 × 425,655
  4. Step 4: Simplify right side
    274,902x = 181,182,179,025
  5. Step 5: Solve for x
    x = 181,182,179,025/274,902
  6. Step 6: Final answer
    x = 659,079.16

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.