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Finding the Third Proportional to 598.64 and 1,287.77

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Solution

The third proportional to 598.64 and 1,287.77 is: 2,770.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.64 : 1,287.77 = 1,287.77 : x
  2. Step 2: Convert to fraction form
    598.64/1,287.77 = 1,287.77/x
  3. Step 3: Cross multiply
    598.64x = 1,287.77 × 1,287.77
  4. Step 4: Simplify right side
    598.64x = 1,658,360.43
  5. Step 5: Solve for x
    x = 1,658,360.43/598.64
  6. Step 6: Final answer
    x = 2,770.21

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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.