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Finding the Third Proportional to 562.88 and 882.75

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Solution

The third proportional to 562.88 and 882.75 is: 1,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.88 : 882.75 = 882.75 : x
  2. Step 2: Convert to fraction form
    562.88/882.75 = 882.75/x
  3. Step 3: Cross multiply
    562.88x = 882.75 × 882.75
  4. Step 4: Simplify right side
    562.88x = 779,247.56
  5. Step 5: Solve for x
    x = 779,247.56/562.88
  6. Step 6: Final answer
    x = 1,384.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.