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Finding the Third Proportional to 452.04 and 700.95

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Solution

The third proportional to 452.04 and 700.95 is: 1,086.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.04 : 700.95 = 700.95 : x
  2. Step 2: Convert to fraction form
    452.04/700.95 = 700.95/x
  3. Step 3: Cross multiply
    452.04x = 700.95 × 700.95
  4. Step 4: Simplify right side
    452.04x = 491,324.33
  5. Step 5: Solve for x
    x = 491,324.33/452.04
  6. Step 6: Final answer
    x = 1,086.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.