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Finding the Third Proportional to 378,711 and 816,471

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Solution

The third proportional to 378,711 and 816,471 is: 1,760,246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,711 : 816,471 = 816,471 : x
  2. Step 2: Convert to fraction form
    378,711/816,471 = 816,471/x
  3. Step 3: Cross multiply
    378,711x = 816,471 × 816,471
  4. Step 4: Simplify right side
    378,711x = 666,624,893,841
  5. Step 5: Solve for x
    x = 666,624,893,841/378,711
  6. Step 6: Final answer
    x = 1,760,246.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.