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Finding the Third Proportional to 222,606 and 524,952

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Solution

The third proportional to 222,606 and 524,952 is: 1,237,947.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,606 : 524,952 = 524,952 : x
  2. Step 2: Convert to fraction form
    222,606/524,952 = 524,952/x
  3. Step 3: Cross multiply
    222,606x = 524,952 × 524,952
  4. Step 4: Simplify right side
    222,606x = 275,574,602,304
  5. Step 5: Solve for x
    x = 275,574,602,304/222,606
  6. Step 6: Final answer
    x = 1,237,947.77

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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.