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Finding the Third Proportional to 539,790.75 and 806,712.75

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Solution

The third proportional to 539,790.75 and 806,712.75 is: 1,205,625.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,790.75 : 806,712.75 = 806,712.75 : x
  2. Step 2: Convert to fraction form
    539,790.75/806,712.75 = 806,712.75/x
  3. Step 3: Cross multiply
    539,790.75x = 806,712.75 × 806,712.75
  4. Step 4: Simplify right side
    539,790.75x = 650,785,461,012.56
  5. Step 5: Solve for x
    x = 650,785,461,012.56/539,790.75
  6. Step 6: Final answer
    x = 1,205,625.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.