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Finding the Third Proportional to 376,724 and 527,980

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Solution

The third proportional to 376,724 and 527,980 is: 739,965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,724 : 527,980 = 527,980 : x
  2. Step 2: Convert to fraction form
    376,724/527,980 = 527,980/x
  3. Step 3: Cross multiply
    376,724x = 527,980 × 527,980
  4. Step 4: Simplify right side
    376,724x = 278,762,880,400
  5. Step 5: Solve for x
    x = 278,762,880,400/376,724
  6. Step 6: Final answer
    x = 739,965.81

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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.