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Finding the Third Proportional to 201,766 and 442,716

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Solution

The third proportional to 201,766 and 442,716 is: 971,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,766 : 442,716 = 442,716 : x
  2. Step 2: Convert to fraction form
    201,766/442,716 = 442,716/x
  3. Step 3: Cross multiply
    201,766x = 442,716 × 442,716
  4. Step 4: Simplify right side
    201,766x = 195,997,456,656
  5. Step 5: Solve for x
    x = 195,997,456,656/201,766
  6. Step 6: Final answer
    x = 971,409.74

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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.