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Finding the Third Proportional to 201,077.44 and 442,639.69

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Solution

The third proportional to 201,077.44 and 442,639.69 is: 974,400.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,077.44 : 442,639.69 = 442,639.69 : x
  2. Step 2: Convert to fraction form
    201,077.44/442,639.69 = 442,639.69/x
  3. Step 3: Cross multiply
    201,077.44x = 442,639.69 × 442,639.69
  4. Step 4: Simplify right side
    201,077.44x = 195,929,892,950.10
  5. Step 5: Solve for x
    x = 195,929,892,950.10/201,077.44
  6. Step 6: Final answer
    x = 974,400.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.