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Finding the Third Proportional to 437,375 and 653,785

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Solution

The third proportional to 437,375 and 653,785 is: 977,273.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,375 : 653,785 = 653,785 : x
  2. Step 2: Convert to fraction form
    437,375/653,785 = 653,785/x
  3. Step 3: Cross multiply
    437,375x = 653,785 × 653,785
  4. Step 4: Simplify right side
    437,375x = 427,434,826,225
  5. Step 5: Solve for x
    x = 427,434,826,225/437,375
  6. Step 6: Final answer
    x = 977,273.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.