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Finding the Third Proportional to 462,683 and 630,327

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Solution

The third proportional to 462,683 and 630,327 is: 858,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,683 : 630,327 = 630,327 : x
  2. Step 2: Convert to fraction form
    462,683/630,327 = 630,327/x
  3. Step 3: Cross multiply
    462,683x = 630,327 × 630,327
  4. Step 4: Simplify right side
    462,683x = 397,312,126,929
  5. Step 5: Solve for x
    x = 397,312,126,929/462,683
  6. Step 6: Final answer
    x = 858,713.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.