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Finding the Third Proportional to 569.13 and 1,197.88

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Solution

The third proportional to 569.13 and 1,197.88 is: 2,521.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.13 : 1,197.88 = 1,197.88 : x
  2. Step 2: Convert to fraction form
    569.13/1,197.88 = 1,197.88/x
  3. Step 3: Cross multiply
    569.13x = 1,197.88 × 1,197.88
  4. Step 4: Simplify right side
    569.13x = 1,434,904.52
  5. Step 5: Solve for x
    x = 1,434,904.52/569.13
  6. Step 6: Final answer
    x = 2,521.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.