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Finding the Third Proportional to 377,728 and 552,984

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Solution

The third proportional to 377,728 and 552,984 is: 809,554.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,728 : 552,984 = 552,984 : x
  2. Step 2: Convert to fraction form
    377,728/552,984 = 552,984/x
  3. Step 3: Cross multiply
    377,728x = 552,984 × 552,984
  4. Step 4: Simplify right side
    377,728x = 305,791,304,256
  5. Step 5: Solve for x
    x = 305,791,304,256/377,728
  6. Step 6: Final answer
    x = 809,554.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.