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Finding the Third Proportional to 252,406 and 539,832

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Solution

The third proportional to 252,406 and 539,832 is: 1,154,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,406 : 539,832 = 539,832 : x
  2. Step 2: Convert to fraction form
    252,406/539,832 = 539,832/x
  3. Step 3: Cross multiply
    252,406x = 539,832 × 539,832
  4. Step 4: Simplify right side
    252,406x = 291,418,588,224
  5. Step 5: Solve for x
    x = 291,418,588,224/252,406
  6. Step 6: Final answer
    x = 1,154,562.84

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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.