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Finding the Third Proportional to 277,542 and 415,194

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Solution

The third proportional to 277,542 and 415,194 is: 621,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,542 : 415,194 = 415,194 : x
  2. Step 2: Convert to fraction form
    277,542/415,194 = 415,194/x
  3. Step 3: Cross multiply
    277,542x = 415,194 × 415,194
  4. Step 4: Simplify right side
    277,542x = 172,386,057,636
  5. Step 5: Solve for x
    x = 172,386,057,636/277,542
  6. Step 6: Final answer
    x = 621,117.01

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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.