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Finding the Third Proportional to 569.11 and 1,244.67

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Solution

The third proportional to 569.11 and 1,244.67 is: 2,722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.11 : 1,244.67 = 1,244.67 : x
  2. Step 2: Convert to fraction form
    569.11/1,244.67 = 1,244.67/x
  3. Step 3: Cross multiply
    569.11x = 1,244.67 × 1,244.67
  4. Step 4: Simplify right side
    569.11x = 1,549,208.08
  5. Step 5: Solve for x
    x = 1,549,208.08/569.11
  6. Step 6: Final answer
    x = 2,722.16

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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.