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Finding the Third Proportional to 269,895 and 581,309.25

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Solution

The third proportional to 269,895 and 581,309.25 is: 1,252,044.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,895 : 581,309.25 = 581,309.25 : x
  2. Step 2: Convert to fraction form
    269,895/581,309.25 = 581,309.25/x
  3. Step 3: Cross multiply
    269,895x = 581,309.25 × 581,309.25
  4. Step 4: Simplify right side
    269,895x = 337,920,444,135.56
  5. Step 5: Solve for x
    x = 337,920,444,135.56/269,895
  6. Step 6: Final answer
    x = 1,252,044.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.