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Finding the Third Proportional to 376,726 and 527,983

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Solution

The third proportional to 376,726 and 527,983 is: 739,970.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,726 : 527,983 = 527,983 : x
  2. Step 2: Convert to fraction form
    376,726/527,983 = 527,983/x
  3. Step 3: Cross multiply
    376,726x = 527,983 × 527,983
  4. Step 4: Simplify right side
    376,726x = 278,766,048,289
  5. Step 5: Solve for x
    x = 278,766,048,289/376,726
  6. Step 6: Final answer
    x = 739,970.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.