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Finding the Third Proportional to 376,716 and 527,970

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Solution

The third proportional to 376,716 and 527,970 is: 739,953.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,716 : 527,970 = 527,970 : x
  2. Step 2: Convert to fraction form
    376,716/527,970 = 527,970/x
  3. Step 3: Cross multiply
    376,716x = 527,970 × 527,970
  4. Step 4: Simplify right side
    376,716x = 278,752,320,900
  5. Step 5: Solve for x
    x = 278,752,320,900/376,716
  6. Step 6: Final answer
    x = 739,953.50

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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.