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Finding the Third Proportional to 262,625 and 382,452

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Solution

The third proportional to 262,625 and 382,452 is: 556,952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,625 : 382,452 = 382,452 : x
  2. Step 2: Convert to fraction form
    262,625/382,452 = 382,452/x
  3. Step 3: Cross multiply
    262,625x = 382,452 × 382,452
  4. Step 4: Simplify right side
    262,625x = 146,269,532,304
  5. Step 5: Solve for x
    x = 146,269,532,304/262,625
  6. Step 6: Final answer
    x = 556,952.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.