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Finding the Third Proportional to 602.28 and 1,302.01

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Solution

The third proportional to 602.28 and 1,302.01 is: 2,814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.28 : 1,302.01 = 1,302.01 : x
  2. Step 2: Convert to fraction form
    602.28/1,302.01 = 1,302.01/x
  3. Step 3: Cross multiply
    602.28x = 1,302.01 × 1,302.01
  4. Step 4: Simplify right side
    602.28x = 1,695,234.52
  5. Step 5: Solve for x
    x = 1,695,234.52/602.28
  6. Step 6: Final answer
    x = 2,814.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.