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Finding the Third Proportional to 248,438.44 and 536,215.88

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Solution

The third proportional to 248,438.44 and 536,215.88 is: 1,157,338.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,438.44 : 536,215.88 = 536,215.88 : x
  2. Step 2: Convert to fraction form
    248,438.44/536,215.88 = 536,215.88/x
  3. Step 3: Cross multiply
    248,438.44x = 536,215.88 × 536,215.88
  4. Step 4: Simplify right side
    248,438.44x = 287,527,464,602.02
  5. Step 5: Solve for x
    x = 287,527,464,602.02/248,438.44
  6. Step 6: Final answer
    x = 1,157,338.89

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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.