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Finding the Third Proportional to 277,554 and 415,212

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Solution

The third proportional to 277,554 and 415,212 is: 621,144.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,554 : 415,212 = 415,212 : x
  2. Step 2: Convert to fraction form
    277,554/415,212 = 415,212/x
  3. Step 3: Cross multiply
    277,554x = 415,212 × 415,212
  4. Step 4: Simplify right side
    277,554x = 172,401,004,944
  5. Step 5: Solve for x
    x = 172,401,004,944/277,554
  6. Step 6: Final answer
    x = 621,144.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.