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Finding the Third Proportional to 251,435 and 542,074

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Solution

The third proportional to 251,435 and 542,074 is: 1,168,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,435 : 542,074 = 542,074 : x
  2. Step 2: Convert to fraction form
    251,435/542,074 = 542,074/x
  3. Step 3: Cross multiply
    251,435x = 542,074 × 542,074
  4. Step 4: Simplify right side
    251,435x = 293,844,221,476
  5. Step 5: Solve for x
    x = 293,844,221,476/251,435
  6. Step 6: Final answer
    x = 1,168,668.73

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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.