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Finding the Third Proportional to 277,751 and 415,929

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Solution

The third proportional to 277,751 and 415,929 is: 622,849.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,751 : 415,929 = 415,929 : x
  2. Step 2: Convert to fraction form
    277,751/415,929 = 415,929/x
  3. Step 3: Cross multiply
    277,751x = 415,929 × 415,929
  4. Step 4: Simplify right side
    277,751x = 172,996,933,041
  5. Step 5: Solve for x
    x = 172,996,933,041/277,751
  6. Step 6: Final answer
    x = 622,849.00

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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.