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Finding the Third Proportional to 376,718 and 527,973

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Solution

The third proportional to 376,718 and 527,973 is: 739,957.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,718 : 527,973 = 527,973 : x
  2. Step 2: Convert to fraction form
    376,718/527,973 = 527,973/x
  3. Step 3: Cross multiply
    376,718x = 527,973 × 527,973
  4. Step 4: Simplify right side
    376,718x = 278,755,488,729
  5. Step 5: Solve for x
    x = 278,755,488,729/376,718
  6. Step 6: Final answer
    x = 739,957.98

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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.