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Finding the Third Proportional to 384,285 and 613,904

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Solution

The third proportional to 384,285 and 613,904 is: 980,725.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,285 : 613,904 = 613,904 : x
  2. Step 2: Convert to fraction form
    384,285/613,904 = 613,904/x
  3. Step 3: Cross multiply
    384,285x = 613,904 × 613,904
  4. Step 4: Simplify right side
    384,285x = 376,878,121,216
  5. Step 5: Solve for x
    x = 376,878,121,216/384,285
  6. Step 6: Final answer
    x = 980,725.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.