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Finding the Third Proportional to 244,978 and 524,946

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Solution

The third proportional to 244,978 and 524,946 is: 1,124,869.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,978 : 524,946 = 524,946 : x
  2. Step 2: Convert to fraction form
    244,978/524,946 = 524,946/x
  3. Step 3: Cross multiply
    244,978x = 524,946 × 524,946
  4. Step 4: Simplify right side
    244,978x = 275,568,302,916
  5. Step 5: Solve for x
    x = 275,568,302,916/244,978
  6. Step 6: Final answer
    x = 1,124,869.59

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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.