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Finding the Third Proportional to 201,024 and 422,712

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Solution

The third proportional to 201,024 and 422,712 is: 888,876.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,024 : 422,712 = 422,712 : x
  2. Step 2: Convert to fraction form
    201,024/422,712 = 422,712/x
  3. Step 3: Cross multiply
    201,024x = 422,712 × 422,712
  4. Step 4: Simplify right side
    201,024x = 178,685,434,944
  5. Step 5: Solve for x
    x = 178,685,434,944/201,024
  6. Step 6: Final answer
    x = 888,876.13

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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.