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Finding the Third Proportional to 215,246 and 424,996

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Solution

The third proportional to 215,246 and 424,996 is: 839,140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,246 : 424,996 = 424,996 : x
  2. Step 2: Convert to fraction form
    215,246/424,996 = 424,996/x
  3. Step 3: Cross multiply
    215,246x = 424,996 × 424,996
  4. Step 4: Simplify right side
    215,246x = 180,621,600,016
  5. Step 5: Solve for x
    x = 180,621,600,016/215,246
  6. Step 6: Final answer
    x = 839,140.33

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Why These Related Problems?

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