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Finding the Third Proportional to 269,569 and 575,103

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Solution

The third proportional to 269,569 and 575,103 is: 1,226,934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,569 : 575,103 = 575,103 : x
  2. Step 2: Convert to fraction form
    269,569/575,103 = 575,103/x
  3. Step 3: Cross multiply
    269,569x = 575,103 × 575,103
  4. Step 4: Simplify right side
    269,569x = 330,743,460,609
  5. Step 5: Solve for x
    x = 330,743,460,609/269,569
  6. Step 6: Final answer
    x = 1,226,934.33

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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.