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Finding the Third Proportional to 222,384 and 472,959

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Solution

The third proportional to 222,384 and 472,959 is: 1,005,873.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,384 : 472,959 = 472,959 : x
  2. Step 2: Convert to fraction form
    222,384/472,959 = 472,959/x
  3. Step 3: Cross multiply
    222,384x = 472,959 × 472,959
  4. Step 4: Simplify right side
    222,384x = 223,690,215,681
  5. Step 5: Solve for x
    x = 223,690,215,681/222,384
  6. Step 6: Final answer
    x = 1,005,873.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.