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Finding the Third Proportional to 201,888 and 476,424

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Solution

The third proportional to 201,888 and 476,424 is: 1,124,285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,888 : 476,424 = 476,424 : x
  2. Step 2: Convert to fraction form
    201,888/476,424 = 476,424/x
  3. Step 3: Cross multiply
    201,888x = 476,424 × 476,424
  4. Step 4: Simplify right side
    201,888x = 226,979,827,776
  5. Step 5: Solve for x
    x = 226,979,827,776/201,888
  6. Step 6: Final answer
    x = 1,124,285.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.