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Finding the Third Proportional to 1,000.69 and 1,335.66

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Solution

The third proportional to 1,000.69 and 1,335.66 is: 1,782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.69 : 1,335.66 = 1,335.66 : x
  2. Step 2: Convert to fraction form
    1,000.69/1,335.66 = 1,335.66/x
  3. Step 3: Cross multiply
    1,000.69x = 1,335.66 × 1,335.66
  4. Step 4: Simplify right side
    1,000.69x = 1,783,977.62
  5. Step 5: Solve for x
    x = 1,783,977.62/1,000.69
  6. Step 6: Final answer
    x = 1,782.75

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.