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Finding the Third Proportional to 285,277.50 and 398,805.75

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Solution

The third proportional to 285,277.50 and 398,805.75 is: 557,513.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,277.50 : 398,805.75 = 398,805.75 : x
  2. Step 2: Convert to fraction form
    285,277.50/398,805.75 = 398,805.75/x
  3. Step 3: Cross multiply
    285,277.50x = 398,805.75 × 398,805.75
  4. Step 4: Simplify right side
    285,277.50x = 159,046,026,233.06
  5. Step 5: Solve for x
    x = 159,046,026,233.06/285,277.50
  6. Step 6: Final answer
    x = 557,513.39

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.