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Finding the Third Proportional to 467,524 and 661,542

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Solution

The third proportional to 467,524 and 661,542 is: 936,075.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,524 : 661,542 = 661,542 : x
  2. Step 2: Convert to fraction form
    467,524/661,542 = 661,542/x
  3. Step 3: Cross multiply
    467,524x = 661,542 × 661,542
  4. Step 4: Simplify right side
    467,524x = 437,637,817,764
  5. Step 5: Solve for x
    x = 437,637,817,764/467,524
  6. Step 6: Final answer
    x = 936,075.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.