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Finding the Third Proportional to 324,084 and 466,855

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Solution

The third proportional to 324,084 and 466,855 is: 672,521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,084 : 466,855 = 466,855 : x
  2. Step 2: Convert to fraction form
    324,084/466,855 = 466,855/x
  3. Step 3: Cross multiply
    324,084x = 466,855 × 466,855
  4. Step 4: Simplify right side
    324,084x = 217,953,591,025
  5. Step 5: Solve for x
    x = 217,953,591,025/324,084
  6. Step 6: Final answer
    x = 672,521.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.