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Finding the Third Proportional to 378,720 and 816,464

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Solution

The third proportional to 378,720 and 816,464 is: 1,760,174.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,720 : 816,464 = 816,464 : x
  2. Step 2: Convert to fraction form
    378,720/816,464 = 816,464/x
  3. Step 3: Cross multiply
    378,720x = 816,464 × 816,464
  4. Step 4: Simplify right side
    378,720x = 666,613,463,296
  5. Step 5: Solve for x
    x = 666,613,463,296/378,720
  6. Step 6: Final answer
    x = 1,760,174.97

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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.