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Finding the Third Proportional to 691.50 and 1,056.75

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Solution

The third proportional to 691.50 and 1,056.75 is: 1,614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.50 : 1,056.75 = 1,056.75 : x
  2. Step 2: Convert to fraction form
    691.50/1,056.75 = 1,056.75/x
  3. Step 3: Cross multiply
    691.50x = 1,056.75 × 1,056.75
  4. Step 4: Simplify right side
    691.50x = 1,116,720.56
  5. Step 5: Solve for x
    x = 1,116,720.56/691.50
  6. Step 6: Final answer
    x = 1,614.92

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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.