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Finding the Third Proportional to 201,812 and 432,601

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Solution

The third proportional to 201,812 and 432,601 is: 927,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,812 : 432,601 = 432,601 : x
  2. Step 2: Convert to fraction form
    201,812/432,601 = 432,601/x
  3. Step 3: Cross multiply
    201,812x = 432,601 × 432,601
  4. Step 4: Simplify right side
    201,812x = 187,143,625,201
  5. Step 5: Solve for x
    x = 187,143,625,201/201,812
  6. Step 6: Final answer
    x = 927,316.64

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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.