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Finding the Third Proportional to 539,758.50 and 806,667.75

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Solution

The third proportional to 539,758.50 and 806,667.75 is: 1,205,562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,758.50 : 806,667.75 = 806,667.75 : x
  2. Step 2: Convert to fraction form
    539,758.50/806,667.75 = 806,667.75/x
  3. Step 3: Cross multiply
    539,758.50x = 806,667.75 × 806,667.75
  4. Step 4: Simplify right side
    539,758.50x = 650,712,858,890.06
  5. Step 5: Solve for x
    x = 650,712,858,890.06/539,758.50
  6. Step 6: Final answer
    x = 1,205,562.97

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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.