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Finding the Third Proportional to 555,309.75 and 1,180,686.75

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Solution

The third proportional to 555,309.75 and 1,180,686.75 is: 2,510,348.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,309.75 : 1,180,686.75 = 1,180,686.75 : x
  2. Step 2: Convert to fraction form
    555,309.75/1,180,686.75 = 1,180,686.75/x
  3. Step 3: Cross multiply
    555,309.75x = 1,180,686.75 × 1,180,686.75
  4. Step 4: Simplify right side
    555,309.75x = 1,394,021,201,625.56
  5. Step 5: Solve for x
    x = 1,394,021,201,625.56/555,309.75
  6. Step 6: Final answer
    x = 2,510,348.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.