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Finding the Third Proportional to 287,957 and 396,943

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Solution

The third proportional to 287,957 and 396,943 is: 547,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,957 : 396,943 = 396,943 : x
  2. Step 2: Convert to fraction form
    287,957/396,943 = 396,943/x
  3. Step 3: Cross multiply
    287,957x = 396,943 × 396,943
  4. Step 4: Simplify right side
    287,957x = 157,563,745,249
  5. Step 5: Solve for x
    x = 157,563,745,249/287,957
  6. Step 6: Final answer
    x = 547,178.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.