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Finding the Third Proportional to 250,452 and 536,508

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Solution

The third proportional to 250,452 and 536,508 is: 1,149,285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,452 : 536,508 = 536,508 : x
  2. Step 2: Convert to fraction form
    250,452/536,508 = 536,508/x
  3. Step 3: Cross multiply
    250,452x = 536,508 × 536,508
  4. Step 4: Simplify right side
    250,452x = 287,840,834,064
  5. Step 5: Solve for x
    x = 287,840,834,064/250,452
  6. Step 6: Final answer
    x = 1,149,285.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.