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Finding the Third Proportional to 882.25 and 1,297.25

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Solution

The third proportional to 882.25 and 1,297.25 is: 1,907.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.25 : 1,297.25 = 1,297.25 : x
  2. Step 2: Convert to fraction form
    882.25/1,297.25 = 1,297.25/x
  3. Step 3: Cross multiply
    882.25x = 1,297.25 × 1,297.25
  4. Step 4: Simplify right side
    882.25x = 1,682,857.56
  5. Step 5: Solve for x
    x = 1,682,857.56/882.25
  6. Step 6: Final answer
    x = 1,907.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.