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Finding the Third Proportional to 602.28 and 901.16

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Solution

The third proportional to 602.28 and 901.16 is: 1,348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.28 : 901.16 = 901.16 : x
  2. Step 2: Convert to fraction form
    602.28/901.16 = 901.16/x
  3. Step 3: Cross multiply
    602.28x = 901.16 × 901.16
  4. Step 4: Simplify right side
    602.28x = 812,097.55
  5. Step 5: Solve for x
    x = 812,097.55/602.28
  6. Step 6: Final answer
    x = 1,348.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.