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Finding the Third Proportional to 587,523.75 and 792,708.75

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Solution

The third proportional to 587,523.75 and 792,708.75 is: 1,069,551.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,523.75 : 792,708.75 = 792,708.75 : x
  2. Step 2: Convert to fraction form
    587,523.75/792,708.75 = 792,708.75/x
  3. Step 3: Cross multiply
    587,523.75x = 792,708.75 × 792,708.75
  4. Step 4: Simplify right side
    587,523.75x = 628,387,162,326.56
  5. Step 5: Solve for x
    x = 628,387,162,326.56/587,523.75
  6. Step 6: Final answer
    x = 1,069,551.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.