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Finding the Third Proportional to 254,744 and 539,832

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Solution

The third proportional to 254,744 and 539,832 is: 1,143,966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,744 : 539,832 = 539,832 : x
  2. Step 2: Convert to fraction form
    254,744/539,832 = 539,832/x
  3. Step 3: Cross multiply
    254,744x = 539,832 × 539,832
  4. Step 4: Simplify right side
    254,744x = 291,418,588,224
  5. Step 5: Solve for x
    x = 291,418,588,224/254,744
  6. Step 6: Final answer
    x = 1,143,966.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.