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Finding the Third Proportional to 373.97 and 535.31

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Solution

The third proportional to 373.97 and 535.31 is: 766.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.97 : 535.31 = 535.31 : x
  2. Step 2: Convert to fraction form
    373.97/535.31 = 535.31/x
  3. Step 3: Cross multiply
    373.97x = 535.31 × 535.31
  4. Step 4: Simplify right side
    373.97x = 286,559.47
  5. Step 5: Solve for x
    x = 286,559.47/373.97
  6. Step 6: Final answer
    x = 766.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.