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Finding the Third Proportional to 882.23 and 1,323.47

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Solution

The third proportional to 882.23 and 1,323.47 is: 1,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.23 : 1,323.47 = 1,323.47 : x
  2. Step 2: Convert to fraction form
    882.23/1,323.47 = 1,323.47/x
  3. Step 3: Cross multiply
    882.23x = 1,323.47 × 1,323.47
  4. Step 4: Simplify right side
    882.23x = 1,751,569.53
  5. Step 5: Solve for x
    x = 1,751,569.53/882.23
  6. Step 6: Final answer
    x = 1,985.38

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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.