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Finding the Third Proportional to 405,727 and 631,555

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Solution

The third proportional to 405,727 and 631,555 is: 983,079.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,727 : 631,555 = 631,555 : x
  2. Step 2: Convert to fraction form
    405,727/631,555 = 631,555/x
  3. Step 3: Cross multiply
    405,727x = 631,555 × 631,555
  4. Step 4: Simplify right side
    405,727x = 398,861,718,025
  5. Step 5: Solve for x
    x = 398,861,718,025/405,727
  6. Step 6: Final answer
    x = 983,079.06

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.