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Finding the Third Proportional to 277,544 and 439,060

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Solution

The third proportional to 277,544 and 439,060 is: 694,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,544 : 439,060 = 439,060 : x
  2. Step 2: Convert to fraction form
    277,544/439,060 = 439,060/x
  3. Step 3: Cross multiply
    277,544x = 439,060 × 439,060
  4. Step 4: Simplify right side
    277,544x = 192,773,683,600
  5. Step 5: Solve for x
    x = 192,773,683,600/277,544
  6. Step 6: Final answer
    x = 694,569.81

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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.