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Finding the Third Proportional to 324,900 and 487,350

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Solution

The third proportional to 324,900 and 487,350 is: 731,025

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,900 : 487,350 = 487,350 : x
  2. Step 2: Convert to fraction form
    324,900/487,350 = 487,350/x
  3. Step 3: Cross multiply
    324,900x = 487,350 × 487,350
  4. Step 4: Simplify right side
    324,900x = 237,510,022,500
  5. Step 5: Solve for x
    x = 237,510,022,500/324,900
  6. Step 6: Final answer
    x = 731,025

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.