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Finding the Third Proportional to 598.92 and 1,308.80

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Solution

The third proportional to 598.92 and 1,308.80 is: 2,860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.92 : 1,308.80 = 1,308.80 : x
  2. Step 2: Convert to fraction form
    598.92/1,308.80 = 1,308.80/x
  3. Step 3: Cross multiply
    598.92x = 1,308.80 × 1,308.80
  4. Step 4: Simplify right side
    598.92x = 1,712,949.26
  5. Step 5: Solve for x
    x = 1,712,949.26/598.92
  6. Step 6: Final answer
    x = 2,860.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.