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Finding the Third Proportional to 201,871 and 424,652

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Solution

The third proportional to 201,871 and 424,652 is: 893,289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,871 : 424,652 = 424,652 : x
  2. Step 2: Convert to fraction form
    201,871/424,652 = 424,652/x
  3. Step 3: Cross multiply
    201,871x = 424,652 × 424,652
  4. Step 4: Simplify right side
    201,871x = 180,329,321,104
  5. Step 5: Solve for x
    x = 180,329,321,104/201,871
  6. Step 6: Final answer
    x = 893,289.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.