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Finding the Third Proportional to 457.13 and 707.13

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Solution

The third proportional to 457.13 and 707.13 is: 1,093.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.13 : 707.13 = 707.13 : x
  2. Step 2: Convert to fraction form
    457.13/707.13 = 707.13/x
  3. Step 3: Cross multiply
    457.13x = 707.13 × 707.13
  4. Step 4: Simplify right side
    457.13x = 500,025.77
  5. Step 5: Solve for x
    x = 500,025.77/457.13
  6. Step 6: Final answer
    x = 1,093.85

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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.