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Finding the Third Proportional to 215,432 and 462,848

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Solution

The third proportional to 215,432 and 462,848 is: 994,412.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,432 : 462,848 = 462,848 : x
  2. Step 2: Convert to fraction form
    215,432/462,848 = 462,848/x
  3. Step 3: Cross multiply
    215,432x = 462,848 × 462,848
  4. Step 4: Simplify right side
    215,432x = 214,228,271,104
  5. Step 5: Solve for x
    x = 214,228,271,104/215,432
  6. Step 6: Final answer
    x = 994,412.49

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.