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Finding the Third Proportional to 686.81 and 1,053.84

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Solution

The third proportional to 686.81 and 1,053.84 is: 1,617.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.81 : 1,053.84 = 1,053.84 : x
  2. Step 2: Convert to fraction form
    686.81/1,053.84 = 1,053.84/x
  3. Step 3: Cross multiply
    686.81x = 1,053.84 × 1,053.84
  4. Step 4: Simplify right side
    686.81x = 1,110,586.65
  5. Step 5: Solve for x
    x = 1,110,586.65/686.81
  6. Step 6: Final answer
    x = 1,617.02

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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.