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Finding the Third Proportional to 277,816 and 597,048

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Solution

The third proportional to 277,816 and 597,048 is: 1,283,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,816 : 597,048 = 597,048 : x
  2. Step 2: Convert to fraction form
    277,816/597,048 = 597,048/x
  3. Step 3: Cross multiply
    277,816x = 597,048 × 597,048
  4. Step 4: Simplify right side
    277,816x = 356,466,314,304
  5. Step 5: Solve for x
    x = 356,466,314,304/277,816
  6. Step 6: Final answer
    x = 1,283,102.18

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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.