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Finding the Third Proportional to 277,812 and 414,890

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Solution

The third proportional to 277,812 and 414,890 is: 619,605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,812 : 414,890 = 414,890 : x
  2. Step 2: Convert to fraction form
    277,812/414,890 = 414,890/x
  3. Step 3: Cross multiply
    277,812x = 414,890 × 414,890
  4. Step 4: Simplify right side
    277,812x = 172,133,712,100
  5. Step 5: Solve for x
    x = 172,133,712,100/277,812
  6. Step 6: Final answer
    x = 619,605.03

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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.