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Finding the Third Proportional to 247,002.75 and 531,454.50

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Solution

The third proportional to 247,002.75 and 531,454.50 is: 1,143,484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,002.75 : 531,454.50 = 531,454.50 : x
  2. Step 2: Convert to fraction form
    247,002.75/531,454.50 = 531,454.50/x
  3. Step 3: Cross multiply
    247,002.75x = 531,454.50 × 531,454.50
  4. Step 4: Simplify right side
    247,002.75x = 282,443,885,570.25
  5. Step 5: Solve for x
    x = 282,443,885,570.25/247,002.75
  6. Step 6: Final answer
    x = 1,143,484.78

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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.