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Finding the Third Proportional to 469.38 and 1,015.63

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Solution

The third proportional to 469.38 and 1,015.63 is: 2,197.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.38 : 1,015.63 = 1,015.63 : x
  2. Step 2: Convert to fraction form
    469.38/1,015.63 = 1,015.63/x
  3. Step 3: Cross multiply
    469.38x = 1,015.63 × 1,015.63
  4. Step 4: Simplify right side
    469.38x = 1,031,494.14
  5. Step 5: Solve for x
    x = 1,031,494.14/469.38
  6. Step 6: Final answer
    x = 2,197.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.