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Finding the Third Proportional to 248,228.25 and 535,815.75

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Solution

The third proportional to 248,228.25 and 535,815.75 is: 1,156,590.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,228.25 : 535,815.75 = 535,815.75 : x
  2. Step 2: Convert to fraction form
    248,228.25/535,815.75 = 535,815.75/x
  3. Step 3: Cross multiply
    248,228.25x = 535,815.75 × 535,815.75
  4. Step 4: Simplify right side
    248,228.25x = 287,098,517,948.06
  5. Step 5: Solve for x
    x = 287,098,517,948.06/248,228.25
  6. Step 6: Final answer
    x = 1,156,590.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.