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Finding the Third Proportional to 277,822 and 414,902

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Solution

The third proportional to 277,822 and 414,902 is: 619,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,822 : 414,902 = 414,902 : x
  2. Step 2: Convert to fraction form
    277,822/414,902 = 414,902/x
  3. Step 3: Cross multiply
    277,822x = 414,902 × 414,902
  4. Step 4: Simplify right side
    277,822x = 172,143,669,604
  5. Step 5: Solve for x
    x = 172,143,669,604/277,822
  6. Step 6: Final answer
    x = 619,618.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.