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Finding the Third Proportional to 202,332 and 437,467

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Solution

The third proportional to 202,332 and 437,467 is: 945,858.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,332 : 437,467 = 437,467 : x
  2. Step 2: Convert to fraction form
    202,332/437,467 = 437,467/x
  3. Step 3: Cross multiply
    202,332x = 437,467 × 437,467
  4. Step 4: Simplify right side
    202,332x = 191,377,376,089
  5. Step 5: Solve for x
    x = 191,377,376,089/202,332
  6. Step 6: Final answer
    x = 945,858.17

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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.