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Finding the Third Proportional to 690.29 and 1,051.52

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Solution

The third proportional to 690.29 and 1,051.52 is: 1,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.29 : 1,051.52 = 1,051.52 : x
  2. Step 2: Convert to fraction form
    690.29/1,051.52 = 1,051.52/x
  3. Step 3: Cross multiply
    690.29x = 1,051.52 × 1,051.52
  4. Step 4: Simplify right side
    690.29x = 1,105,701.54
  5. Step 5: Solve for x
    x = 1,105,701.54/690.29
  6. Step 6: Final answer
    x = 1,601.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.