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Finding the Third Proportional to 386,656 and 544,504

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Solution

The third proportional to 386,656 and 544,504 is: 766,791.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,656 : 544,504 = 544,504 : x
  2. Step 2: Convert to fraction form
    386,656/544,504 = 544,504/x
  3. Step 3: Cross multiply
    386,656x = 544,504 × 544,504
  4. Step 4: Simplify right side
    386,656x = 296,484,606,016
  5. Step 5: Solve for x
    x = 296,484,606,016/386,656
  6. Step 6: Final answer
    x = 766,791.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.