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Finding the Third Proportional to 437,586 and 655,650

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Solution

The third proportional to 437,586 and 655,650 is: 982,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,586 : 655,650 = 655,650 : x
  2. Step 2: Convert to fraction form
    437,586/655,650 = 655,650/x
  3. Step 3: Cross multiply
    437,586x = 655,650 × 655,650
  4. Step 4: Simplify right side
    437,586x = 429,876,922,500
  5. Step 5: Solve for x
    x = 429,876,922,500/437,586
  6. Step 6: Final answer
    x = 982,382.71

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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.