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Finding the Third Proportional to 248,436 and 536,215.50

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Solution

The third proportional to 248,436 and 536,215.50 is: 1,157,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,436 : 536,215.50 = 536,215.50 : x
  2. Step 2: Convert to fraction form
    248,436/536,215.50 = 536,215.50/x
  3. Step 3: Cross multiply
    248,436x = 536,215.50 × 536,215.50
  4. Step 4: Simplify right side
    248,436x = 287,527,062,440.25
  5. Step 5: Solve for x
    x = 287,527,062,440.25/248,436
  6. Step 6: Final answer
    x = 1,157,348.62

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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.