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Finding the Third Proportional to 277,772 and 597,736

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Solution

The third proportional to 277,772 and 597,736 is: 1,286,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,772 : 597,736 = 597,736 : x
  2. Step 2: Convert to fraction form
    277,772/597,736 = 597,736/x
  3. Step 3: Cross multiply
    277,772x = 597,736 × 597,736
  4. Step 4: Simplify right side
    277,772x = 357,288,325,696
  5. Step 5: Solve for x
    x = 357,288,325,696/277,772
  6. Step 6: Final answer
    x = 1,286,264.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.