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Finding the Third Proportional to 208,360 and 447,784

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Solution

The third proportional to 208,360 and 447,784 is: 962,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,360 : 447,784 = 447,784 : x
  2. Step 2: Convert to fraction form
    208,360/447,784 = 447,784/x
  3. Step 3: Cross multiply
    208,360x = 447,784 × 447,784
  4. Step 4: Simplify right side
    208,360x = 200,510,510,656
  5. Step 5: Solve for x
    x = 200,510,510,656/208,360
  6. Step 6: Final answer
    x = 962,327.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.