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Finding the Third Proportional to 534,829.50 and 1,165,617

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Solution

The third proportional to 534,829.50 and 1,165,617 is: 2,540,366.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,829.50 : 1,165,617 = 1,165,617 : x
  2. Step 2: Convert to fraction form
    534,829.50/1,165,617 = 1,165,617/x
  3. Step 3: Cross multiply
    534,829.50x = 1,165,617 × 1,165,617
  4. Step 4: Simplify right side
    534,829.50x = 1,358,662,990,689
  5. Step 5: Solve for x
    x = 1,358,662,990,689/534,829.50
  6. Step 6: Final answer
    x = 2,540,366.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.