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Finding the Third Proportional to 277,324 and 438,757

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Solution

The third proportional to 277,324 and 438,757 is: 694,161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,324 : 438,757 = 438,757 : x
  2. Step 2: Convert to fraction form
    277,324/438,757 = 438,757/x
  3. Step 3: Cross multiply
    277,324x = 438,757 × 438,757
  4. Step 4: Simplify right side
    277,324x = 192,507,705,049
  5. Step 5: Solve for x
    x = 192,507,705,049/277,324
  6. Step 6: Final answer
    x = 694,161.72

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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.