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Finding the Third Proportional to 254,748 and 539,839

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Solution

The third proportional to 254,748 and 539,839 is: 1,143,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,748 : 539,839 = 539,839 : x
  2. Step 2: Convert to fraction form
    254,748/539,839 = 539,839/x
  3. Step 3: Cross multiply
    254,748x = 539,839 × 539,839
  4. Step 4: Simplify right side
    254,748x = 291,426,145,921
  5. Step 5: Solve for x
    x = 291,426,145,921/254,748
  6. Step 6: Final answer
    x = 1,143,978.15

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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.