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Finding the Third Proportional to 448,420.50 and 659,508.75

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Solution

The third proportional to 448,420.50 and 659,508.75 is: 969,964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,420.50 : 659,508.75 = 659,508.75 : x
  2. Step 2: Convert to fraction form
    448,420.50/659,508.75 = 659,508.75/x
  3. Step 3: Cross multiply
    448,420.50x = 659,508.75 × 659,508.75
  4. Step 4: Simplify right side
    448,420.50x = 434,951,791,326.56
  5. Step 5: Solve for x
    x = 434,951,791,326.56/448,420.50
  6. Step 6: Final answer
    x = 969,964.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.