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Finding the Third Proportional to 549.75 and 1,207.50

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Solution

The third proportional to 549.75 and 1,207.50 is: 2,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.75 : 1,207.50 = 1,207.50 : x
  2. Step 2: Convert to fraction form
    549.75/1,207.50 = 1,207.50/x
  3. Step 3: Cross multiply
    549.75x = 1,207.50 × 1,207.50
  4. Step 4: Simplify right side
    549.75x = 1,458,056.25
  5. Step 5: Solve for x
    x = 1,458,056.25/549.75
  6. Step 6: Final answer
    x = 2,652.22

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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.