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Finding the Third Proportional to 714.45 and 1,104.57

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Solution

The third proportional to 714.45 and 1,104.57 is: 1,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.45 : 1,104.57 = 1,104.57 : x
  2. Step 2: Convert to fraction form
    714.45/1,104.57 = 1,104.57/x
  3. Step 3: Cross multiply
    714.45x = 1,104.57 × 1,104.57
  4. Step 4: Simplify right side
    714.45x = 1,220,084.20
  5. Step 5: Solve for x
    x = 1,220,084.20/714.45
  6. Step 6: Final answer
    x = 1,707.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.