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Finding the Third Proportional to 589.78 and 882.14

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Solution

The third proportional to 589.78 and 882.14 is: 1,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.78 : 882.14 = 882.14 : x
  2. Step 2: Convert to fraction form
    589.78/882.14 = 882.14/x
  3. Step 3: Cross multiply
    589.78x = 882.14 × 882.14
  4. Step 4: Simplify right side
    589.78x = 778,172.08
  5. Step 5: Solve for x
    x = 778,172.08/589.78
  6. Step 6: Final answer
    x = 1,319.42

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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.