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Finding the Third Proportional to 215,246 and 424,972

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Solution

The third proportional to 215,246 and 424,972 is: 839,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,246 : 424,972 = 424,972 : x
  2. Step 2: Convert to fraction form
    215,246/424,972 = 424,972/x
  3. Step 3: Cross multiply
    215,246x = 424,972 × 424,972
  4. Step 4: Simplify right side
    215,246x = 180,601,200,784
  5. Step 5: Solve for x
    x = 180,601,200,784/215,246
  6. Step 6: Final answer
    x = 839,045.56

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.