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Finding the Third Proportional to 602.28 and 944.00

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Solution

The third proportional to 602.28 and 944.00 is: 1,479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.28 : 944.00 = 944.00 : x
  2. Step 2: Convert to fraction form
    602.28/944.00 = 944.00/x
  3. Step 3: Cross multiply
    602.28x = 944.00 × 944.00
  4. Step 4: Simplify right side
    602.28x = 891,132.31
  5. Step 5: Solve for x
    x = 891,132.31/602.28
  6. Step 6: Final answer
    x = 1,479.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.