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Finding the Third Proportional to 277,043 and 369,736

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Solution

The third proportional to 277,043 and 369,736 is: 493,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,043 : 369,736 = 369,736 : x
  2. Step 2: Convert to fraction form
    277,043/369,736 = 369,736/x
  3. Step 3: Cross multiply
    277,043x = 369,736 × 369,736
  4. Step 4: Simplify right side
    277,043x = 136,704,709,696
  5. Step 5: Solve for x
    x = 136,704,709,696/277,043
  6. Step 6: Final answer
    x = 493,442.21

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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.