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Finding the Third Proportional to 362,067 and 506,432

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Solution

The third proportional to 362,067 and 506,432 is: 708,358.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,067 : 506,432 = 506,432 : x
  2. Step 2: Convert to fraction form
    362,067/506,432 = 506,432/x
  3. Step 3: Cross multiply
    362,067x = 506,432 × 506,432
  4. Step 4: Simplify right side
    362,067x = 256,473,370,624
  5. Step 5: Solve for x
    x = 256,473,370,624/362,067
  6. Step 6: Final answer
    x = 708,358.87

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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.