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Finding the Third Proportional to 223,432 and 478,847

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Solution

The third proportional to 223,432 and 478,847 is: 1,026,238.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,432 : 478,847 = 478,847 : x
  2. Step 2: Convert to fraction form
    223,432/478,847 = 478,847/x
  3. Step 3: Cross multiply
    223,432x = 478,847 × 478,847
  4. Step 4: Simplify right side
    223,432x = 229,294,449,409
  5. Step 5: Solve for x
    x = 229,294,449,409/223,432
  6. Step 6: Final answer
    x = 1,026,238.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.