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Finding the Third Proportional to 402.19 and 598.22

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Solution

The third proportional to 402.19 and 598.22 is: 889.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.19 : 598.22 = 598.22 : x
  2. Step 2: Convert to fraction form
    402.19/598.22 = 598.22/x
  3. Step 3: Cross multiply
    402.19x = 598.22 × 598.22
  4. Step 4: Simplify right side
    402.19x = 357,865.67
  5. Step 5: Solve for x
    x = 357,865.67/402.19
  6. Step 6: Final answer
    x = 889.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.