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Finding the Third Proportional to 386,961 and 557,367

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Solution

The third proportional to 386,961 and 557,367 is: 802,814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,961 : 557,367 = 557,367 : x
  2. Step 2: Convert to fraction form
    386,961/557,367 = 557,367/x
  3. Step 3: Cross multiply
    386,961x = 557,367 × 557,367
  4. Step 4: Simplify right side
    386,961x = 310,657,972,689
  5. Step 5: Solve for x
    x = 310,657,972,689/386,961
  6. Step 6: Final answer
    x = 802,814.68

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.