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Finding the Third Proportional to 377,569 and 548,521

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Solution

The third proportional to 377,569 and 548,521 is: 796,874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,569 : 548,521 = 548,521 : x
  2. Step 2: Convert to fraction form
    377,569/548,521 = 548,521/x
  3. Step 3: Cross multiply
    377,569x = 548,521 × 548,521
  4. Step 4: Simplify right side
    377,569x = 300,875,287,441
  5. Step 5: Solve for x
    x = 300,875,287,441/377,569
  6. Step 6: Final answer
    x = 796,874.98

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.