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Finding the Third Proportional to 602.28 and 1,065.02

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Solution

The third proportional to 602.28 and 1,065.02 is: 1,883.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.28 : 1,065.02 = 1,065.02 : x
  2. Step 2: Convert to fraction form
    602.28/1,065.02 = 1,065.02/x
  3. Step 3: Cross multiply
    602.28x = 1,065.02 × 1,065.02
  4. Step 4: Simplify right side
    602.28x = 1,134,274.92
  5. Step 5: Solve for x
    x = 1,134,274.92/602.28
  6. Step 6: Final answer
    x = 1,883.30

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.