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Finding the Third Proportional to 640,950 and 928,377

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Solution

The third proportional to 640,950 and 928,377 is: 1,344,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,950 : 928,377 = 928,377 : x
  2. Step 2: Convert to fraction form
    640,950/928,377 = 928,377/x
  3. Step 3: Cross multiply
    640,950x = 928,377 × 928,377
  4. Step 4: Simplify right side
    640,950x = 861,883,854,129
  5. Step 5: Solve for x
    x = 861,883,854,129/640,950
  6. Step 6: Final answer
    x = 1,344,697.49

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.