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Finding the Third Proportional to 231,444 and 469,327.50

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Solution

The third proportional to 231,444 and 469,327.50 is: 951,713.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,444 : 469,327.50 = 469,327.50 : x
  2. Step 2: Convert to fraction form
    231,444/469,327.50 = 469,327.50/x
  3. Step 3: Cross multiply
    231,444x = 469,327.50 × 469,327.50
  4. Step 4: Simplify right side
    231,444x = 220,268,302,256.25
  5. Step 5: Solve for x
    x = 220,268,302,256.25/231,444
  6. Step 6: Final answer
    x = 951,713.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.