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Finding the Third Proportional to 437,018 and 659,523

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Solution

The third proportional to 437,018 and 659,523 is: 995,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,018 : 659,523 = 659,523 : x
  2. Step 2: Convert to fraction form
    437,018/659,523 = 659,523/x
  3. Step 3: Cross multiply
    437,018x = 659,523 × 659,523
  4. Step 4: Simplify right side
    437,018x = 434,970,587,529
  5. Step 5: Solve for x
    x = 434,970,587,529/437,018
  6. Step 6: Final answer
    x = 995,315.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.