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Finding the Third Proportional to 511.50 and 549

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Solution

The third proportional to 511.50 and 549 is: 589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.50 : 549 = 549 : x
  2. Step 2: Convert to fraction form
    511.50/549 = 549/x
  3. Step 3: Cross multiply
    511.50x = 549 × 549
  4. Step 4: Simplify right side
    511.50x = 301,401
  5. Step 5: Solve for x
    x = 301,401/511.50
  6. Step 6: Final answer
    x = 589.25

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.