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Finding the Third Proportional to 468,067 and 702,111

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Solution

The third proportional to 468,067 and 702,111 is: 1,053,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,067 : 702,111 = 702,111 : x
  2. Step 2: Convert to fraction form
    468,067/702,111 = 702,111/x
  3. Step 3: Cross multiply
    468,067x = 702,111 × 702,111
  4. Step 4: Simplify right side
    468,067x = 492,959,856,321
  5. Step 5: Solve for x
    x = 492,959,856,321/468,067
  6. Step 6: Final answer
    x = 1,053,182.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.