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Finding the Third Proportional to 201,771 and 442,726

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Solution

The third proportional to 201,771 and 442,726 is: 971,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,771 : 442,726 = 442,726 : x
  2. Step 2: Convert to fraction form
    201,771/442,726 = 442,726/x
  3. Step 3: Cross multiply
    201,771x = 442,726 × 442,726
  4. Step 4: Simplify right side
    201,771x = 196,006,311,076
  5. Step 5: Solve for x
    x = 196,006,311,076/201,771
  6. Step 6: Final answer
    x = 971,429.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.