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Finding the Third Proportional to 212,502 and 462,388

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Solution

The third proportional to 212,502 and 462,388 is: 1,006,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,502 : 462,388 = 462,388 : x
  2. Step 2: Convert to fraction form
    212,502/462,388 = 462,388/x
  3. Step 3: Cross multiply
    212,502x = 462,388 × 462,388
  4. Step 4: Simplify right side
    212,502x = 213,802,662,544
  5. Step 5: Solve for x
    x = 213,802,662,544/212,502
  6. Step 6: Final answer
    x = 1,006,120.71

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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.