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Finding the Third Proportional to 478.98 and 1,031.34

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Solution

The third proportional to 478.98 and 1,031.34 is: 2,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.98 : 1,031.34 = 1,031.34 : x
  2. Step 2: Convert to fraction form
    478.98/1,031.34 = 1,031.34/x
  3. Step 3: Cross multiply
    478.98x = 1,031.34 × 1,031.34
  4. Step 4: Simplify right side
    478.98x = 1,063,664.27
  5. Step 5: Solve for x
    x = 1,063,664.27/478.98
  6. Step 6: Final answer
    x = 2,220.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.