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Finding the Third Proportional to 437,372 and 653,781

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Solution

The third proportional to 437,372 and 653,781 is: 977,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,372 : 653,781 = 653,781 : x
  2. Step 2: Convert to fraction form
    437,372/653,781 = 653,781/x
  3. Step 3: Cross multiply
    437,372x = 653,781 × 653,781
  4. Step 4: Simplify right side
    437,372x = 427,429,595,961
  5. Step 5: Solve for x
    x = 427,429,595,961/437,372
  6. Step 6: Final answer
    x = 977,267.85

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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.