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Finding the Third Proportional to 412,939 and 601,432

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Solution

The third proportional to 412,939 and 601,432 is: 875,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,939 : 601,432 = 601,432 : x
  2. Step 2: Convert to fraction form
    412,939/601,432 = 601,432/x
  3. Step 3: Cross multiply
    412,939x = 601,432 × 601,432
  4. Step 4: Simplify right side
    412,939x = 361,720,450,624
  5. Step 5: Solve for x
    x = 361,720,450,624/412,939
  6. Step 6: Final answer
    x = 875,965.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.