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Finding the Third Proportional to 458,596 and 660,544

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Solution

The third proportional to 458,596 and 660,544 is: 951,422.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,596 : 660,544 = 660,544 : x
  2. Step 2: Convert to fraction form
    458,596/660,544 = 660,544/x
  3. Step 3: Cross multiply
    458,596x = 660,544 × 660,544
  4. Step 4: Simplify right side
    458,596x = 436,318,375,936
  5. Step 5: Solve for x
    x = 436,318,375,936/458,596
  6. Step 6: Final answer
    x = 951,422.11

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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.