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Finding the Third Proportional to 617,327 and 927,633

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Solution

The third proportional to 617,327 and 927,633 is: 1,393,917.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,327 : 927,633 = 927,633 : x
  2. Step 2: Convert to fraction form
    617,327/927,633 = 927,633/x
  3. Step 3: Cross multiply
    617,327x = 927,633 × 927,633
  4. Step 4: Simplify right side
    617,327x = 860,502,982,689
  5. Step 5: Solve for x
    x = 860,502,982,689/617,327
  6. Step 6: Final answer
    x = 1,393,917.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.