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Finding the Third Proportional to 208,806 and 447,132

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Solution

The third proportional to 208,806 and 447,132 is: 957,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,806 : 447,132 = 447,132 : x
  2. Step 2: Convert to fraction form
    208,806/447,132 = 447,132/x
  3. Step 3: Cross multiply
    208,806x = 447,132 × 447,132
  4. Step 4: Simplify right side
    208,806x = 199,927,025,424
  5. Step 5: Solve for x
    x = 199,927,025,424/208,806
  6. Step 6: Final answer
    x = 957,477.40

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Why These Related Problems?

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