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Finding the Third Proportional to 318,305 and 432,551

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Solution

The third proportional to 318,305 and 432,551 is: 587,802.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,305 : 432,551 = 432,551 : x
  2. Step 2: Convert to fraction form
    318,305/432,551 = 432,551/x
  3. Step 3: Cross multiply
    318,305x = 432,551 × 432,551
  4. Step 4: Simplify right side
    318,305x = 187,100,367,601
  5. Step 5: Solve for x
    x = 187,100,367,601/318,305
  6. Step 6: Final answer
    x = 587,802.16

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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.