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Finding the Third Proportional to 206,881 and 483,473

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Solution

The third proportional to 206,881 and 483,473 is: 1,129,857.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,881 : 483,473 = 483,473 : x
  2. Step 2: Convert to fraction form
    206,881/483,473 = 483,473/x
  3. Step 3: Cross multiply
    206,881x = 483,473 × 483,473
  4. Step 4: Simplify right side
    206,881x = 233,746,141,729
  5. Step 5: Solve for x
    x = 233,746,141,729/206,881
  6. Step 6: Final answer
    x = 1,129,857.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.