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Finding the Third Proportional to 269,897 and 581,314

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Solution

The third proportional to 269,897 and 581,314 is: 1,252,055.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,897 : 581,314 = 581,314 : x
  2. Step 2: Convert to fraction form
    269,897/581,314 = 581,314/x
  3. Step 3: Cross multiply
    269,897x = 581,314 × 581,314
  4. Step 4: Simplify right side
    269,897x = 337,925,966,596
  5. Step 5: Solve for x
    x = 337,925,966,596/269,897
  6. Step 6: Final answer
    x = 1,252,055.29

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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.