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Finding the Third Proportional to 622.13 and 1,459.69

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Solution

The third proportional to 622.13 and 1,459.69 is: 3,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.13 : 1,459.69 = 1,459.69 : x
  2. Step 2: Convert to fraction form
    622.13/1,459.69 = 1,459.69/x
  3. Step 3: Cross multiply
    622.13x = 1,459.69 × 1,459.69
  4. Step 4: Simplify right side
    622.13x = 2,130,687.60
  5. Step 5: Solve for x
    x = 2,130,687.60/622.13
  6. Step 6: Final answer
    x = 3,424.85

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.