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Finding the Third Proportional to 522.84 and 1,211.06

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Solution

The third proportional to 522.84 and 1,211.06 is: 2,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.84 : 1,211.06 = 1,211.06 : x
  2. Step 2: Convert to fraction form
    522.84/1,211.06 = 1,211.06/x
  3. Step 3: Cross multiply
    522.84x = 1,211.06 × 1,211.06
  4. Step 4: Simplify right side
    522.84x = 1,466,672.38
  5. Step 5: Solve for x
    x = 1,466,672.38/522.84
  6. Step 6: Final answer
    x = 2,805.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.