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Finding the Third Proportional to 215,393 and 469,952

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Solution

The third proportional to 215,393 and 469,952 is: 1,025,357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,393 : 469,952 = 469,952 : x
  2. Step 2: Convert to fraction form
    215,393/469,952 = 469,952/x
  3. Step 3: Cross multiply
    215,393x = 469,952 × 469,952
  4. Step 4: Simplify right side
    215,393x = 220,854,882,304
  5. Step 5: Solve for x
    x = 220,854,882,304/215,393
  6. Step 6: Final answer
    x = 1,025,357.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.