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Finding the Third Proportional to 277,562 and 415,224

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Solution

The third proportional to 277,562 and 415,224 is: 621,162.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,562 : 415,224 = 415,224 : x
  2. Step 2: Convert to fraction form
    277,562/415,224 = 415,224/x
  3. Step 3: Cross multiply
    277,562x = 415,224 × 415,224
  4. Step 4: Simplify right side
    277,562x = 172,410,970,176
  5. Step 5: Solve for x
    x = 172,410,970,176/277,562
  6. Step 6: Final answer
    x = 621,162.01

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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.