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Finding the Third Proportional to 638,523 and 952,248

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Solution

The third proportional to 638,523 and 952,248 is: 1,420,115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,523 : 952,248 = 952,248 : x
  2. Step 2: Convert to fraction form
    638,523/952,248 = 952,248/x
  3. Step 3: Cross multiply
    638,523x = 952,248 × 952,248
  4. Step 4: Simplify right side
    638,523x = 906,776,253,504
  5. Step 5: Solve for x
    x = 906,776,253,504/638,523
  6. Step 6: Final answer
    x = 1,420,115.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.