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Finding the Third Proportional to 247,677.75 and 411,292.69

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Solution

The third proportional to 247,677.75 and 411,292.69 is: 682,991.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,677.75 : 411,292.69 = 411,292.69 : x
  2. Step 2: Convert to fraction form
    247,677.75/411,292.69 = 411,292.69/x
  3. Step 3: Cross multiply
    247,677.75x = 411,292.69 × 411,292.69
  4. Step 4: Simplify right side
    247,677.75x = 169,161,674,790.97
  5. Step 5: Solve for x
    x = 169,161,674,790.97/247,677.75
  6. Step 6: Final answer
    x = 682,991.00

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.