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Finding the Third Proportional to 278,784 and 603,576

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Solution

The third proportional to 278,784 and 603,576 is: 1,306,760.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,784 : 603,576 = 603,576 : x
  2. Step 2: Convert to fraction form
    278,784/603,576 = 603,576/x
  3. Step 3: Cross multiply
    278,784x = 603,576 × 603,576
  4. Step 4: Simplify right side
    278,784x = 364,303,987,776
  5. Step 5: Solve for x
    x = 364,303,987,776/278,784
  6. Step 6: Final answer
    x = 1,306,760.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.