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Finding the Third Proportional to 709.59 and 1,064.81

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Solution

The third proportional to 709.59 and 1,064.81 is: 1,597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.59 : 1,064.81 = 1,064.81 : x
  2. Step 2: Convert to fraction form
    709.59/1,064.81 = 1,064.81/x
  3. Step 3: Cross multiply
    709.59x = 1,064.81 × 1,064.81
  4. Step 4: Simplify right side
    709.59x = 1,133,825.66
  5. Step 5: Solve for x
    x = 1,133,825.66/709.59
  6. Step 6: Final answer
    x = 1,597.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.