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Finding the Third Proportional to 248,375 and 539,957

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Solution

The third proportional to 248,375 and 539,957 is: 1,173,844.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,375 : 539,957 = 539,957 : x
  2. Step 2: Convert to fraction form
    248,375/539,957 = 539,957/x
  3. Step 3: Cross multiply
    248,375x = 539,957 × 539,957
  4. Step 4: Simplify right side
    248,375x = 291,553,561,849
  5. Step 5: Solve for x
    x = 291,553,561,849/248,375
  6. Step 6: Final answer
    x = 1,173,844.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.