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Finding the Third Proportional to 602.28 and 929.05

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Solution

The third proportional to 602.28 and 929.05 is: 1,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.28 : 929.05 = 929.05 : x
  2. Step 2: Convert to fraction form
    602.28/929.05 = 929.05/x
  3. Step 3: Cross multiply
    602.28x = 929.05 × 929.05
  4. Step 4: Simplify right side
    602.28x = 863,129.91
  5. Step 5: Solve for x
    x = 863,129.91/602.28
  6. Step 6: Final answer
    x = 1,433.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.