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Finding the Third Proportional to 218,192 and 475,808

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Solution

The third proportional to 218,192 and 475,808 is: 1,037,587.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,192 : 475,808 = 475,808 : x
  2. Step 2: Convert to fraction form
    218,192/475,808 = 475,808/x
  3. Step 3: Cross multiply
    218,192x = 475,808 × 475,808
  4. Step 4: Simplify right side
    218,192x = 226,393,252,864
  5. Step 5: Solve for x
    x = 226,393,252,864/218,192
  6. Step 6: Final answer
    x = 1,037,587.32

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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.