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Finding the Third Proportional to 709.25 and 1,095.63

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Solution

The third proportional to 709.25 and 1,095.63 is: 1,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.25 : 1,095.63 = 1,095.63 : x
  2. Step 2: Convert to fraction form
    709.25/1,095.63 = 1,095.63/x
  3. Step 3: Cross multiply
    709.25x = 1,095.63 × 1,095.63
  4. Step 4: Simplify right side
    709.25x = 1,200,394.14
  5. Step 5: Solve for x
    x = 1,200,394.14/709.25
  6. Step 6: Final answer
    x = 1,692.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.