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Finding the Third Proportional to 587,514 and 792,696

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Solution

The third proportional to 587,514 and 792,696 is: 1,069,535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,514 : 792,696 = 792,696 : x
  2. Step 2: Convert to fraction form
    587,514/792,696 = 792,696/x
  3. Step 3: Cross multiply
    587,514x = 792,696 × 792,696
  4. Step 4: Simplify right side
    587,514x = 628,366,948,416
  5. Step 5: Solve for x
    x = 628,366,948,416/587,514
  6. Step 6: Final answer
    x = 1,069,535.28

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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.