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Finding the Third Proportional to 565.69 and 1,240.13

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Solution

The third proportional to 565.69 and 1,240.13 is: 2,718.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.69 : 1,240.13 = 1,240.13 : x
  2. Step 2: Convert to fraction form
    565.69/1,240.13 = 1,240.13/x
  3. Step 3: Cross multiply
    565.69x = 1,240.13 × 1,240.13
  4. Step 4: Simplify right side
    565.69x = 1,537,910.02
  5. Step 5: Solve for x
    x = 1,537,910.02/565.69
  6. Step 6: Final answer
    x = 2,718.66

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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.