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Finding the Third Proportional to 457,834 and 708,327

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Solution

The third proportional to 457,834 and 708,327 is: 1,095,871.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,834 : 708,327 = 708,327 : x
  2. Step 2: Convert to fraction form
    457,834/708,327 = 708,327/x
  3. Step 3: Cross multiply
    457,834x = 708,327 × 708,327
  4. Step 4: Simplify right side
    457,834x = 501,727,138,929
  5. Step 5: Solve for x
    x = 501,727,138,929/457,834
  6. Step 6: Final answer
    x = 1,095,871.30

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Why These Related Problems?

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