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Finding the Third Proportional to 217,860 and 469,091

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Solution

The third proportional to 217,860 and 469,091 is: 1,010,035.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,860 : 469,091 = 469,091 : x
  2. Step 2: Convert to fraction form
    217,860/469,091 = 469,091/x
  3. Step 3: Cross multiply
    217,860x = 469,091 × 469,091
  4. Step 4: Simplify right side
    217,860x = 220,046,366,281
  5. Step 5: Solve for x
    x = 220,046,366,281/217,860
  6. Step 6: Final answer
    x = 1,010,035.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.