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Finding the Third Proportional to 269,494 and 575,140

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Solution

The third proportional to 269,494 and 575,140 is: 1,227,433.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,494 : 575,140 = 575,140 : x
  2. Step 2: Convert to fraction form
    269,494/575,140 = 575,140/x
  3. Step 3: Cross multiply
    269,494x = 575,140 × 575,140
  4. Step 4: Simplify right side
    269,494x = 330,786,019,600
  5. Step 5: Solve for x
    x = 330,786,019,600/269,494
  6. Step 6: Final answer
    x = 1,227,433.71

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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.