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Finding the Third Proportional to 254,724.75 and 539,794.13

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Solution

The third proportional to 254,724.75 and 539,794.13 is: 1,143,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,724.75 : 539,794.13 = 539,794.13 : x
  2. Step 2: Convert to fraction form
    254,724.75/539,794.13 = 539,794.13/x
  3. Step 3: Cross multiply
    254,724.75x = 539,794.13 × 539,794.13
  4. Step 4: Simplify right side
    254,724.75x = 291,377,697,384.52
  5. Step 5: Solve for x
    x = 291,377,697,384.52/254,724.75
  6. Step 6: Final answer
    x = 1,143,892.37

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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.