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Finding the Third Proportional to 587,516 and 792,699

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Solution

The third proportional to 587,516 and 792,699 is: 1,069,539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,516 : 792,699 = 792,699 : x
  2. Step 2: Convert to fraction form
    587,516/792,699 = 792,699/x
  3. Step 3: Cross multiply
    587,516x = 792,699 × 792,699
  4. Step 4: Simplify right side
    587,516x = 628,371,704,601
  5. Step 5: Solve for x
    x = 628,371,704,601/587,516
  6. Step 6: Final answer
    x = 1,069,539.73

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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.