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Finding the Third Proportional to 269,981 and 590,811

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Solution

The third proportional to 269,981 and 590,811 is: 1,292,897.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,981 : 590,811 = 590,811 : x
  2. Step 2: Convert to fraction form
    269,981/590,811 = 590,811/x
  3. Step 3: Cross multiply
    269,981x = 590,811 × 590,811
  4. Step 4: Simplify right side
    269,981x = 349,057,637,721
  5. Step 5: Solve for x
    x = 349,057,637,721/269,981
  6. Step 6: Final answer
    x = 1,292,897.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.