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Finding the Third Proportional to 617,325 and 927,630

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Solution

The third proportional to 617,325 and 927,630 is: 1,393,913.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,325 : 927,630 = 927,630 : x
  2. Step 2: Convert to fraction form
    617,325/927,630 = 927,630/x
  3. Step 3: Cross multiply
    617,325x = 927,630 × 927,630
  4. Step 4: Simplify right side
    617,325x = 860,497,416,900
  5. Step 5: Solve for x
    x = 860,497,416,900/617,325
  6. Step 6: Final answer
    x = 1,393,913.12

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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.