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Finding the Third Proportional to 201,295.13 and 440,452.69

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Solution

The third proportional to 201,295.13 and 440,452.69 is: 963,751.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,295.13 : 440,452.69 = 440,452.69 : x
  2. Step 2: Convert to fraction form
    201,295.13/440,452.69 = 440,452.69/x
  3. Step 3: Cross multiply
    201,295.13x = 440,452.69 × 440,452.69
  4. Step 4: Simplify right side
    201,295.13x = 193,998,569,925.97
  5. Step 5: Solve for x
    x = 193,998,569,925.97/201,295.13
  6. Step 6: Final answer
    x = 963,751.95

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