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Finding the Third Proportional to 269,894 and 581,307

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Solution

The third proportional to 269,894 and 581,307 is: 1,252,039.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,894 : 581,307 = 581,307 : x
  2. Step 2: Convert to fraction form
    269,894/581,307 = 581,307/x
  3. Step 3: Cross multiply
    269,894x = 581,307 × 581,307
  4. Step 4: Simplify right side
    269,894x = 337,917,828,249
  5. Step 5: Solve for x
    x = 337,917,828,249/269,894
  6. Step 6: Final answer
    x = 1,252,039.05

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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.