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Finding the Third Proportional to 606.55 and 1,302.80

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Solution

The third proportional to 606.55 and 1,302.80 is: 2,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.55 : 1,302.80 = 1,302.80 : x
  2. Step 2: Convert to fraction form
    606.55/1,302.80 = 1,302.80/x
  3. Step 3: Cross multiply
    606.55x = 1,302.80 × 1,302.80
  4. Step 4: Simplify right side
    606.55x = 1,697,294.96
  5. Step 5: Solve for x
    x = 1,697,294.96/606.55
  6. Step 6: Final answer
    x = 2,798.27

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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.