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Finding the Third Proportional to 279,536 and 372,432

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Solution

The third proportional to 279,536 and 372,432 is: 496,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,536 : 372,432 = 372,432 : x
  2. Step 2: Convert to fraction form
    279,536/372,432 = 372,432/x
  3. Step 3: Cross multiply
    279,536x = 372,432 × 372,432
  4. Step 4: Simplify right side
    279,536x = 138,705,594,624
  5. Step 5: Solve for x
    x = 138,705,594,624/279,536
  6. Step 6: Final answer
    x = 496,199.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.