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Finding the Third Proportional to 625.13 and 1,457.81

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Solution

The third proportional to 625.13 and 1,457.81 is: 3,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.13 : 1,457.81 = 1,457.81 : x
  2. Step 2: Convert to fraction form
    625.13/1,457.81 = 1,457.81/x
  3. Step 3: Cross multiply
    625.13x = 1,457.81 × 1,457.81
  4. Step 4: Simplify right side
    625.13x = 2,125,217.29
  5. Step 5: Solve for x
    x = 2,125,217.29/625.13
  6. Step 6: Final answer
    x = 3,399.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.