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Finding the Third Proportional to 212,272 and 462,019

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Solution

The third proportional to 212,272 and 462,019 is: 1,005,603.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,272 : 462,019 = 462,019 : x
  2. Step 2: Convert to fraction form
    212,272/462,019 = 462,019/x
  3. Step 3: Cross multiply
    212,272x = 462,019 × 462,019
  4. Step 4: Simplify right side
    212,272x = 213,461,556,361
  5. Step 5: Solve for x
    x = 213,461,556,361/212,272
  6. Step 6: Final answer
    x = 1,005,603.92

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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.