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Finding the Third Proportional to 222,427.13 and 524,817

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Solution

The third proportional to 222,427.13 and 524,817 is: 1,238,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,427.13 : 524,817 = 524,817 : x
  2. Step 2: Convert to fraction form
    222,427.13/524,817 = 524,817/x
  3. Step 3: Cross multiply
    222,427.13x = 524,817 × 524,817
  4. Step 4: Simplify right side
    222,427.13x = 275,432,883,489
  5. Step 5: Solve for x
    x = 275,432,883,489/222,427.13
  6. Step 6: Final answer
    x = 1,238,306.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.