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Finding the Third Proportional to 507.75 and 1,096.50

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Solution

The third proportional to 507.75 and 1,096.50 is: 2,367.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.75 : 1,096.50 = 1,096.50 : x
  2. Step 2: Convert to fraction form
    507.75/1,096.50 = 1,096.50/x
  3. Step 3: Cross multiply
    507.75x = 1,096.50 × 1,096.50
  4. Step 4: Simplify right side
    507.75x = 1,202,312.25
  5. Step 5: Solve for x
    x = 1,202,312.25/507.75
  6. Step 6: Final answer
    x = 2,367.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.