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Finding the Third Proportional to 589.88 and 875.44

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Solution

The third proportional to 589.88 and 875.44 is: 1,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.88 : 875.44 = 875.44 : x
  2. Step 2: Convert to fraction form
    589.88/875.44 = 875.44/x
  3. Step 3: Cross multiply
    589.88x = 875.44 × 875.44
  4. Step 4: Simplify right side
    589.88x = 766,390.82
  5. Step 5: Solve for x
    x = 766,390.82/589.88
  6. Step 6: Final answer
    x = 1,299.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.