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Finding the Third Proportional to 600.63 and 1,306.38

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Solution

The third proportional to 600.63 and 1,306.38 is: 2,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.63 : 1,306.38 = 1,306.38 : x
  2. Step 2: Convert to fraction form
    600.63/1,306.38 = 1,306.38/x
  3. Step 3: Cross multiply
    600.63x = 1,306.38 × 1,306.38
  4. Step 4: Simplify right side
    600.63x = 1,706,615.64
  5. Step 5: Solve for x
    x = 1,706,615.64/600.63
  6. Step 6: Final answer
    x = 2,841.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.