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Finding the Third Proportional to 318,286.50 and 432,524.25

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Solution

The third proportional to 318,286.50 and 432,524.25 is: 587,763.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,286.50 : 432,524.25 = 432,524.25 : x
  2. Step 2: Convert to fraction form
    318,286.50/432,524.25 = 432,524.25/x
  3. Step 3: Cross multiply
    318,286.50x = 432,524.25 × 432,524.25
  4. Step 4: Simplify right side
    318,286.50x = 187,077,226,838.06
  5. Step 5: Solve for x
    x = 187,077,226,838.06/318,286.50
  6. Step 6: Final answer
    x = 587,763.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.