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Finding the Third Proportional to 252,150 and 539,977

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Solution

The third proportional to 252,150 and 539,977 is: 1,156,355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,150 : 539,977 = 539,977 : x
  2. Step 2: Convert to fraction form
    252,150/539,977 = 539,977/x
  3. Step 3: Cross multiply
    252,150x = 539,977 × 539,977
  4. Step 4: Simplify right side
    252,150x = 291,575,160,529
  5. Step 5: Solve for x
    x = 291,575,160,529/252,150
  6. Step 6: Final answer
    x = 1,156,355.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.