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Finding the Third Proportional to 201,513 and 439,206

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Solution

The third proportional to 201,513 and 439,206 is: 957,267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,513 : 439,206 = 439,206 : x
  2. Step 2: Convert to fraction form
    201,513/439,206 = 439,206/x
  3. Step 3: Cross multiply
    201,513x = 439,206 × 439,206
  4. Step 4: Simplify right side
    201,513x = 192,901,910,436
  5. Step 5: Solve for x
    x = 192,901,910,436/201,513
  6. Step 6: Final answer
    x = 957,267.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.