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Finding the Third Proportional to 497.95 and 1,095.19

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Solution

The third proportional to 497.95 and 1,095.19 is: 2,408.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.95 : 1,095.19 = 1,095.19 : x
  2. Step 2: Convert to fraction form
    497.95/1,095.19 = 1,095.19/x
  3. Step 3: Cross multiply
    497.95x = 1,095.19 × 1,095.19
  4. Step 4: Simplify right side
    497.95x = 1,199,435.66
  5. Step 5: Solve for x
    x = 1,199,435.66/497.95
  6. Step 6: Final answer
    x = 2,408.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.