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Finding the Third Proportional to 212,060 and 462,226

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Solution

The third proportional to 212,060 and 462,226 is: 1,007,511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,060 : 462,226 = 462,226 : x
  2. Step 2: Convert to fraction form
    212,060/462,226 = 462,226/x
  3. Step 3: Cross multiply
    212,060x = 462,226 × 462,226
  4. Step 4: Simplify right side
    212,060x = 213,652,875,076
  5. Step 5: Solve for x
    x = 213,652,875,076/212,060
  6. Step 6: Final answer
    x = 1,007,511.44

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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.