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Finding the Third Proportional to 302.01 and 662.40

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Solution

The third proportional to 302.01 and 662.40 is: 1,452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.01 : 662.40 = 662.40 : x
  2. Step 2: Convert to fraction form
    302.01/662.40 = 662.40/x
  3. Step 3: Cross multiply
    302.01x = 662.40 × 662.40
  4. Step 4: Simplify right side
    302.01x = 438,769.10
  5. Step 5: Solve for x
    x = 438,769.10/302.01
  6. Step 6: Final answer
    x = 1,452.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.