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Finding the Third Proportional to 658,517.25 and 1,335,201

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Solution

The third proportional to 658,517.25 and 1,335,201 is: 2,707,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,517.25 : 1,335,201 = 1,335,201 : x
  2. Step 2: Convert to fraction form
    658,517.25/1,335,201 = 1,335,201/x
  3. Step 3: Cross multiply
    658,517.25x = 1,335,201 × 1,335,201
  4. Step 4: Simplify right side
    658,517.25x = 1,782,761,710,401
  5. Step 5: Solve for x
    x = 1,782,761,710,401/658,517.25
  6. Step 6: Final answer
    x = 2,707,236.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.