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Finding the Third Proportional to 508.17 and 1,113.66

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Solution

The third proportional to 508.17 and 1,113.66 is: 2,440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.17 : 1,113.66 = 1,113.66 : x
  2. Step 2: Convert to fraction form
    508.17/1,113.66 = 1,113.66/x
  3. Step 3: Cross multiply
    508.17x = 1,113.66 × 1,113.66
  4. Step 4: Simplify right side
    508.17x = 1,240,229.84
  5. Step 5: Solve for x
    x = 1,240,229.84/508.17
  6. Step 6: Final answer
    x = 2,440.57

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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.