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Finding the Third Proportional to 324,868 and 487,302

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Solution

The third proportional to 324,868 and 487,302 is: 730,953

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,868 : 487,302 = 487,302 : x
  2. Step 2: Convert to fraction form
    324,868/487,302 = 487,302/x
  3. Step 3: Cross multiply
    324,868x = 487,302 × 487,302
  4. Step 4: Simplify right side
    324,868x = 237,463,239,204
  5. Step 5: Solve for x
    x = 237,463,239,204/324,868
  6. Step 6: Final answer
    x = 730,953

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