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Finding the Third Proportional to 709.59 and 1,636.88

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Solution

The third proportional to 709.59 and 1,636.88 is: 3,775.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.59 : 1,636.88 = 1,636.88 : x
  2. Step 2: Convert to fraction form
    709.59/1,636.88 = 1,636.88/x
  3. Step 3: Cross multiply
    709.59x = 1,636.88 × 1,636.88
  4. Step 4: Simplify right side
    709.59x = 2,679,359.77
  5. Step 5: Solve for x
    x = 2,679,359.77/709.59
  6. Step 6: Final answer
    x = 3,775.91

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.