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Finding the Third Proportional to 374,784 and 816,192

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Solution

The third proportional to 374,784 and 816,192 is: 1,777,475.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,784 : 816,192 = 816,192 : x
  2. Step 2: Convert to fraction form
    374,784/816,192 = 816,192/x
  3. Step 3: Cross multiply
    374,784x = 816,192 × 816,192
  4. Step 4: Simplify right side
    374,784x = 666,169,380,864
  5. Step 5: Solve for x
    x = 666,169,380,864/374,784
  6. Step 6: Final answer
    x = 1,777,475.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.