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Finding the Third Proportional to 714.75 and 1,069.22

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Solution

The third proportional to 714.75 and 1,069.22 is: 1,599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.75 : 1,069.22 = 1,069.22 : x
  2. Step 2: Convert to fraction form
    714.75/1,069.22 = 1,069.22/x
  3. Step 3: Cross multiply
    714.75x = 1,069.22 × 1,069.22
  4. Step 4: Simplify right side
    714.75x = 1,143,228.74
  5. Step 5: Solve for x
    x = 1,143,228.74/714.75
  6. Step 6: Final answer
    x = 1,599.48

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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.