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Finding the Third Proportional to 587,532 and 792,720

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Solution

The third proportional to 587,532 and 792,720 is: 1,069,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,532 : 792,720 = 792,720 : x
  2. Step 2: Convert to fraction form
    587,532/792,720 = 792,720/x
  3. Step 3: Cross multiply
    587,532x = 792,720 × 792,720
  4. Step 4: Simplify right side
    587,532x = 628,404,998,400
  5. Step 5: Solve for x
    x = 628,404,998,400/587,532
  6. Step 6: Final answer
    x = 1,069,567.27

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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.