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Finding the Third Proportional to 483.19 and 1,031.63

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Solution

The third proportional to 483.19 and 1,031.63 is: 2,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.19 : 1,031.63 = 1,031.63 : x
  2. Step 2: Convert to fraction form
    483.19/1,031.63 = 1,031.63/x
  3. Step 3: Cross multiply
    483.19x = 1,031.63 × 1,031.63
  4. Step 4: Simplify right side
    483.19x = 1,064,250.14
  5. Step 5: Solve for x
    x = 1,064,250.14/483.19
  6. Step 6: Final answer
    x = 2,202.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.