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Finding the Third Proportional to 398,644 and 617,892

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Solution

The third proportional to 398,644 and 617,892 is: 957,722.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,644 : 617,892 = 617,892 : x
  2. Step 2: Convert to fraction form
    398,644/617,892 = 617,892/x
  3. Step 3: Cross multiply
    398,644x = 617,892 × 617,892
  4. Step 4: Simplify right side
    398,644x = 381,790,523,664
  5. Step 5: Solve for x
    x = 381,790,523,664/398,644
  6. Step 6: Final answer
    x = 957,722.99

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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.