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Finding the Third Proportional to 587,823.75 and 879,454.13

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Solution

The third proportional to 587,823.75 and 879,454.13 is: 1,315,767.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,823.75 : 879,454.13 = 879,454.13 : x
  2. Step 2: Convert to fraction form
    587,823.75/879,454.13 = 879,454.13/x
  3. Step 3: Cross multiply
    587,823.75x = 879,454.13 × 879,454.13
  4. Step 4: Simplify right side
    587,823.75x = 773,439,557,979.52
  5. Step 5: Solve for x
    x = 773,439,557,979.52/587,823.75
  6. Step 6: Final answer
    x = 1,315,767.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.