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Finding the Third Proportional to 378,684 and 816,416

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Solution

The third proportional to 378,684 and 816,416 is: 1,760,135.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,684 : 816,416 = 816,416 : x
  2. Step 2: Convert to fraction form
    378,684/816,416 = 816,416/x
  3. Step 3: Cross multiply
    378,684x = 816,416 × 816,416
  4. Step 4: Simplify right side
    378,684x = 666,535,085,056
  5. Step 5: Solve for x
    x = 666,535,085,056/378,684
  6. Step 6: Final answer
    x = 1,760,135.32

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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.