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Finding the Third Proportional to 453.94 and 698.06

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Solution

The third proportional to 453.94 and 698.06 is: 1,073.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.94 : 698.06 = 698.06 : x
  2. Step 2: Convert to fraction form
    453.94/698.06 = 698.06/x
  3. Step 3: Cross multiply
    453.94x = 698.06 × 698.06
  4. Step 4: Simplify right side
    453.94x = 487,291.25
  5. Step 5: Solve for x
    x = 487,291.25/453.94
  6. Step 6: Final answer
    x = 1,073.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.