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Finding the Third Proportional to 244,953 and 524,898

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Solution

The third proportional to 244,953 and 524,898 is: 1,124,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,953 : 524,898 = 524,898 : x
  2. Step 2: Convert to fraction form
    244,953/524,898 = 524,898/x
  3. Step 3: Cross multiply
    244,953x = 524,898 × 524,898
  4. Step 4: Simplify right side
    244,953x = 275,517,910,404
  5. Step 5: Solve for x
    x = 275,517,910,404/244,953
  6. Step 6: Final answer
    x = 1,124,778.67

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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.