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Finding the Third Proportional to 347,727 and 496,317

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Solution

The third proportional to 347,727 and 496,317 is: 708,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,727 : 496,317 = 496,317 : x
  2. Step 2: Convert to fraction form
    347,727/496,317 = 496,317/x
  3. Step 3: Cross multiply
    347,727x = 496,317 × 496,317
  4. Step 4: Simplify right side
    347,727x = 246,330,564,489
  5. Step 5: Solve for x
    x = 246,330,564,489/347,727
  6. Step 6: Final answer
    x = 708,402.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.