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Finding the Third Proportional to 202,338 and 437,479

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Solution

The third proportional to 202,338 and 437,479 is: 945,882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,338 : 437,479 = 437,479 : x
  2. Step 2: Convert to fraction form
    202,338/437,479 = 437,479/x
  3. Step 3: Cross multiply
    202,338x = 437,479 × 437,479
  4. Step 4: Simplify right side
    202,338x = 191,387,875,441
  5. Step 5: Solve for x
    x = 191,387,875,441/202,338
  6. Step 6: Final answer
    x = 945,882.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.