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Finding the Third Proportional to 277,396 and 410,910

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Solution

The third proportional to 277,396 and 410,910 is: 608,685.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,396 : 410,910 = 410,910 : x
  2. Step 2: Convert to fraction form
    277,396/410,910 = 410,910/x
  3. Step 3: Cross multiply
    277,396x = 410,910 × 410,910
  4. Step 4: Simplify right side
    277,396x = 168,847,028,100
  5. Step 5: Solve for x
    x = 168,847,028,100/277,396
  6. Step 6: Final answer
    x = 608,685.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.