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Finding the Third Proportional to 859.78 and 1,320.89

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Solution

The third proportional to 859.78 and 1,320.89 is: 2,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.78 : 1,320.89 = 1,320.89 : x
  2. Step 2: Convert to fraction form
    859.78/1,320.89 = 1,320.89/x
  3. Step 3: Cross multiply
    859.78x = 1,320.89 × 1,320.89
  4. Step 4: Simplify right side
    859.78x = 1,744,752.04
  5. Step 5: Solve for x
    x = 1,744,752.04/859.78
  6. Step 6: Final answer
    x = 2,029.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.