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Finding the Third Proportional to 870.43 and 1,328.91

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Solution

The third proportional to 870.43 and 1,328.91 is: 2,028.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.43 : 1,328.91 = 1,328.91 : x
  2. Step 2: Convert to fraction form
    870.43/1,328.91 = 1,328.91/x
  3. Step 3: Cross multiply
    870.43x = 1,328.91 × 1,328.91
  4. Step 4: Simplify right side
    870.43x = 1,765,991.82
  5. Step 5: Solve for x
    x = 1,765,991.82/870.43
  6. Step 6: Final answer
    x = 2,028.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.