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Finding the Third Proportional to 251,327 and 542,017

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Solution

The third proportional to 251,327 and 542,017 is: 1,168,925.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,327 : 542,017 = 542,017 : x
  2. Step 2: Convert to fraction form
    251,327/542,017 = 542,017/x
  3. Step 3: Cross multiply
    251,327x = 542,017 × 542,017
  4. Step 4: Simplify right side
    251,327x = 293,782,428,289
  5. Step 5: Solve for x
    x = 293,782,428,289/251,327
  6. Step 6: Final answer
    x = 1,168,925.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.