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Finding the Third Proportional to 324,972.84 and 475,423.17

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Solution

The third proportional to 324,972.84 and 475,423.17 is: 695,526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,972.84 : 475,423.17 = 475,423.17 : x
  2. Step 2: Convert to fraction form
    324,972.84/475,423.17 = 475,423.17/x
  3. Step 3: Cross multiply
    324,972.84x = 475,423.17 × 475,423.17
  4. Step 4: Simplify right side
    324,972.84x = 226,027,192,355.69
  5. Step 5: Solve for x
    x = 226,027,192,355.69/324,972.84
  6. Step 6: Final answer
    x = 695,526.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.