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Finding the Third Proportional to 598.01 and 934.03

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Solution

The third proportional to 598.01 and 934.03 is: 1,458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.01 : 934.03 = 934.03 : x
  2. Step 2: Convert to fraction form
    598.01/934.03 = 934.03/x
  3. Step 3: Cross multiply
    598.01x = 934.03 × 934.03
  4. Step 4: Simplify right side
    598.01x = 872,414.38
  5. Step 5: Solve for x
    x = 872,414.38/598.01
  6. Step 6: Final answer
    x = 1,458.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.