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Finding the Third Proportional to 277,040 and 369,732

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Solution

The third proportional to 277,040 and 369,732 is: 493,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,040 : 369,732 = 369,732 : x
  2. Step 2: Convert to fraction form
    277,040/369,732 = 369,732/x
  3. Step 3: Cross multiply
    277,040x = 369,732 × 369,732
  4. Step 4: Simplify right side
    277,040x = 136,701,751,824
  5. Step 5: Solve for x
    x = 136,701,751,824/277,040
  6. Step 6: Final answer
    x = 493,436.87

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.