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Finding the Third Proportional to 438,197.25 and 655,544

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Solution

The third proportional to 438,197.25 and 655,544 is: 980,695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,197.25 : 655,544 = 655,544 : x
  2. Step 2: Convert to fraction form
    438,197.25/655,544 = 655,544/x
  3. Step 3: Cross multiply
    438,197.25x = 655,544 × 655,544
  4. Step 4: Simplify right side
    438,197.25x = 429,737,935,936
  5. Step 5: Solve for x
    x = 429,737,935,936/438,197.25
  6. Step 6: Final answer
    x = 980,695.19

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Why These Related Problems?

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