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Finding the Third Proportional to 252,126 and 537,945

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Solution

The third proportional to 252,126 and 537,945 is: 1,147,778.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,126 : 537,945 = 537,945 : x
  2. Step 2: Convert to fraction form
    252,126/537,945 = 537,945/x
  3. Step 3: Cross multiply
    252,126x = 537,945 × 537,945
  4. Step 4: Simplify right side
    252,126x = 289,384,823,025
  5. Step 5: Solve for x
    x = 289,384,823,025/252,126
  6. Step 6: Final answer
    x = 1,147,778.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.