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Finding the Third Proportional to 208,904 and 447,320

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Solution

The third proportional to 208,904 and 447,320 is: 957,833.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,904 : 447,320 = 447,320 : x
  2. Step 2: Convert to fraction form
    208,904/447,320 = 447,320/x
  3. Step 3: Cross multiply
    208,904x = 447,320 × 447,320
  4. Step 4: Simplify right side
    208,904x = 200,095,182,400
  5. Step 5: Solve for x
    x = 200,095,182,400/208,904
  6. Step 6: Final answer
    x = 957,833.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.