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Finding the Third Proportional to 457.13 and 697.13

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Solution

The third proportional to 457.13 and 697.13 is: 1,063.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.13 : 697.13 = 697.13 : x
  2. Step 2: Convert to fraction form
    457.13/697.13 = 697.13/x
  3. Step 3: Cross multiply
    457.13x = 697.13 × 697.13
  4. Step 4: Simplify right side
    457.13x = 485,983.27
  5. Step 5: Solve for x
    x = 485,983.27/457.13
  6. Step 6: Final answer
    x = 1,063.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.