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Finding the Third Proportional to 251,952 and 381,927

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Solution

The third proportional to 251,952 and 381,927 is: 578,952.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,952 : 381,927 = 381,927 : x
  2. Step 2: Convert to fraction form
    251,952/381,927 = 381,927/x
  3. Step 3: Cross multiply
    251,952x = 381,927 × 381,927
  4. Step 4: Simplify right side
    251,952x = 145,868,233,329
  5. Step 5: Solve for x
    x = 145,868,233,329/251,952
  6. Step 6: Final answer
    x = 578,952.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.