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Finding the Third Proportional to 675.42 and 801.98

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Solution

The third proportional to 675.42 and 801.98 is: 952.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.42 : 801.98 = 801.98 : x
  2. Step 2: Convert to fraction form
    675.42/801.98 = 801.98/x
  3. Step 3: Cross multiply
    675.42x = 801.98 × 801.98
  4. Step 4: Simplify right side
    675.42x = 643,178.94
  5. Step 5: Solve for x
    x = 643,178.94/675.42
  6. Step 6: Final answer
    x = 952.26

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.