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Finding the Third Proportional to 408.16 and 598.01

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Solution

The third proportional to 408.16 and 598.01 is: 876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.16 : 598.01 = 598.01 : x
  2. Step 2: Convert to fraction form
    408.16/598.01 = 598.01/x
  3. Step 3: Cross multiply
    408.16x = 598.01 × 598.01
  4. Step 4: Simplify right side
    408.16x = 357,613.34
  5. Step 5: Solve for x
    x = 357,613.34/408.16
  6. Step 6: Final answer
    x = 876.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.