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Finding the Third Proportional to 500,377 and 737,331

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Solution

The third proportional to 500,377 and 737,331 is: 1,086,494.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,377 : 737,331 = 737,331 : x
  2. Step 2: Convert to fraction form
    500,377/737,331 = 737,331/x
  3. Step 3: Cross multiply
    500,377x = 737,331 × 737,331
  4. Step 4: Simplify right side
    500,377x = 543,657,003,561
  5. Step 5: Solve for x
    x = 543,657,003,561/500,377
  6. Step 6: Final answer
    x = 1,086,494.79

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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.