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Finding the Third Proportional to 212,068 and 462,246

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Solution

The third proportional to 212,068 and 462,246 is: 1,007,560.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,068 : 462,246 = 462,246 : x
  2. Step 2: Convert to fraction form
    212,068/462,246 = 462,246/x
  3. Step 3: Cross multiply
    212,068x = 462,246 × 462,246
  4. Step 4: Simplify right side
    212,068x = 213,671,364,516
  5. Step 5: Solve for x
    x = 213,671,364,516/212,068
  6. Step 6: Final answer
    x = 1,007,560.62

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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.