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Finding the Third Proportional to 212,452 and 462,368

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Solution

The third proportional to 212,452 and 462,368 is: 1,006,270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,452 : 462,368 = 462,368 : x
  2. Step 2: Convert to fraction form
    212,452/462,368 = 462,368/x
  3. Step 3: Cross multiply
    212,452x = 462,368 × 462,368
  4. Step 4: Simplify right side
    212,452x = 213,784,167,424
  5. Step 5: Solve for x
    x = 213,784,167,424/212,452
  6. Step 6: Final answer
    x = 1,006,270.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.