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Finding the Third Proportional to 639,500 and 938,514

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Solution

The third proportional to 639,500 and 938,514 is: 1,377,339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,500 : 938,514 = 938,514 : x
  2. Step 2: Convert to fraction form
    639,500/938,514 = 938,514/x
  3. Step 3: Cross multiply
    639,500x = 938,514 × 938,514
  4. Step 4: Simplify right side
    639,500x = 880,808,528,196
  5. Step 5: Solve for x
    x = 880,808,528,196/639,500
  6. Step 6: Final answer
    x = 1,377,339.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.