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Finding the Third Proportional to 264,282 and 550,452

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Solution

The third proportional to 264,282 and 550,452 is: 1,146,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,282 : 550,452 = 550,452 : x
  2. Step 2: Convert to fraction form
    264,282/550,452 = 550,452/x
  3. Step 3: Cross multiply
    264,282x = 550,452 × 550,452
  4. Step 4: Simplify right side
    264,282x = 302,997,404,304
  5. Step 5: Solve for x
    x = 302,997,404,304/264,282
  6. Step 6: Final answer
    x = 1,146,492.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.