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Finding the Third Proportional to 518.63 and 1,149.47

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Solution

The third proportional to 518.63 and 1,149.47 is: 2,547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.63 : 1,149.47 = 1,149.47 : x
  2. Step 2: Convert to fraction form
    518.63/1,149.47 = 1,149.47/x
  3. Step 3: Cross multiply
    518.63x = 1,149.47 × 1,149.47
  4. Step 4: Simplify right side
    518.63x = 1,321,278.41
  5. Step 5: Solve for x
    x = 1,321,278.41/518.63
  6. Step 6: Final answer
    x = 2,547.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.