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Finding the Third Proportional to 277,768 and 597,728

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Solution

The third proportional to 277,768 and 597,728 is: 1,286,248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,768 : 597,728 = 597,728 : x
  2. Step 2: Convert to fraction form
    277,768/597,728 = 597,728/x
  3. Step 3: Cross multiply
    277,768x = 597,728 × 597,728
  4. Step 4: Simplify right side
    277,768x = 357,278,761,984
  5. Step 5: Solve for x
    x = 357,278,761,984/277,768
  6. Step 6: Final answer
    x = 1,286,248.82

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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.