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Finding the Third Proportional to 869.38 and 1,303.56

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Solution

The third proportional to 869.38 and 1,303.56 is: 1,954.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.38 : 1,303.56 = 1,303.56 : x
  2. Step 2: Convert to fraction form
    869.38/1,303.56 = 1,303.56/x
  3. Step 3: Cross multiply
    869.38x = 1,303.56 × 1,303.56
  4. Step 4: Simplify right side
    869.38x = 1,699,275.19
  5. Step 5: Solve for x
    x = 1,699,275.19/869.38
  6. Step 6: Final answer
    x = 1,954.59

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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.