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Finding the Third Proportional to 340,848 and 518,353.50

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Solution

The third proportional to 340,848 and 518,353.50 is: 788,299.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,848 : 518,353.50 = 518,353.50 : x
  2. Step 2: Convert to fraction form
    340,848/518,353.50 = 518,353.50/x
  3. Step 3: Cross multiply
    340,848x = 518,353.50 × 518,353.50
  4. Step 4: Simplify right side
    340,848x = 268,690,350,962.25
  5. Step 5: Solve for x
    x = 268,690,350,962.25/340,848
  6. Step 6: Final answer
    x = 788,299.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.