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Finding the Third Proportional to 277,305.66 and 438,722.44

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Solution

The third proportional to 277,305.66 and 438,722.44 is: 694,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,305.66 : 438,722.44 = 438,722.44 : x
  2. Step 2: Convert to fraction form
    277,305.66/438,722.44 = 438,722.44/x
  3. Step 3: Cross multiply
    277,305.66x = 438,722.44 × 438,722.44
  4. Step 4: Simplify right side
    277,305.66x = 192,477,377,165.94
  5. Step 5: Solve for x
    x = 192,477,377,165.94/277,305.66
  6. Step 6: Final answer
    x = 694,098.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.