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Finding the Third Proportional to 569.75 and 1,215.88

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Solution

The third proportional to 569.75 and 1,215.88 is: 2,594.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.75 : 1,215.88 = 1,215.88 : x
  2. Step 2: Convert to fraction form
    569.75/1,215.88 = 1,215.88/x
  3. Step 3: Cross multiply
    569.75x = 1,215.88 × 1,215.88
  4. Step 4: Simplify right side
    569.75x = 1,478,352.02
  5. Step 5: Solve for x
    x = 1,478,352.02/569.75
  6. Step 6: Final answer
    x = 2,594.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.