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Finding the Third Proportional to 201,747 and 436,893

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Solution

The third proportional to 201,747 and 436,893 is: 946,113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,747 : 436,893 = 436,893 : x
  2. Step 2: Convert to fraction form
    201,747/436,893 = 436,893/x
  3. Step 3: Cross multiply
    201,747x = 436,893 × 436,893
  4. Step 4: Simplify right side
    201,747x = 190,875,493,449
  5. Step 5: Solve for x
    x = 190,875,493,449/201,747
  6. Step 6: Final answer
    x = 946,113.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.