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Finding the Third Proportional to 203,483 and 322,452

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Solution

The third proportional to 203,483 and 322,452 is: 510,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,483 : 322,452 = 322,452 : x
  2. Step 2: Convert to fraction form
    203,483/322,452 = 322,452/x
  3. Step 3: Cross multiply
    203,483x = 322,452 × 322,452
  4. Step 4: Simplify right side
    203,483x = 103,975,292,304
  5. Step 5: Solve for x
    x = 103,975,292,304/203,483
  6. Step 6: Final answer
    x = 510,977.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.