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Finding the Third Proportional to 1,000.69 and 1,454.34

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Solution

The third proportional to 1,000.69 and 1,454.34 is: 2,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.69 : 1,454.34 = 1,454.34 : x
  2. Step 2: Convert to fraction form
    1,000.69/1,454.34 = 1,454.34/x
  3. Step 3: Cross multiply
    1,000.69x = 1,454.34 × 1,454.34
  4. Step 4: Simplify right side
    1,000.69x = 2,115,115.74
  5. Step 5: Solve for x
    x = 2,115,115.74/1,000.69
  6. Step 6: Final answer
    x = 2,113.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.