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Finding the Third Proportional to 460.69 and 1,113.19

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Solution

The third proportional to 460.69 and 1,113.19 is: 2,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.69 : 1,113.19 = 1,113.19 : x
  2. Step 2: Convert to fraction form
    460.69/1,113.19 = 1,113.19/x
  3. Step 3: Cross multiply
    460.69x = 1,113.19 × 1,113.19
  4. Step 4: Simplify right side
    460.69x = 1,239,186.41
  5. Step 5: Solve for x
    x = 1,239,186.41/460.69
  6. Step 6: Final answer
    x = 2,689.86

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.