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Finding the Third Proportional to 218,232 and 469,665

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Solution

The third proportional to 218,232 and 469,665 is: 1,010,783.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,232 : 469,665 = 469,665 : x
  2. Step 2: Convert to fraction form
    218,232/469,665 = 469,665/x
  3. Step 3: Cross multiply
    218,232x = 469,665 × 469,665
  4. Step 4: Simplify right side
    218,232x = 220,585,212,225
  5. Step 5: Solve for x
    x = 220,585,212,225/218,232
  6. Step 6: Final answer
    x = 1,010,783.08

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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.