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Finding the Third Proportional to 244,957 and 524,906

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Solution

The third proportional to 244,957 and 524,906 is: 1,124,794.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,957 : 524,906 = 524,906 : x
  2. Step 2: Convert to fraction form
    244,957/524,906 = 524,906/x
  3. Step 3: Cross multiply
    244,957x = 524,906 × 524,906
  4. Step 4: Simplify right side
    244,957x = 275,526,308,836
  5. Step 5: Solve for x
    x = 275,526,308,836/244,957
  6. Step 6: Final answer
    x = 1,124,794.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.