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Finding the Third Proportional to 362,784 and 545,568

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Solution

The third proportional to 362,784 and 545,568 is: 820,445.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,784 : 545,568 = 545,568 : x
  2. Step 2: Convert to fraction form
    362,784/545,568 = 545,568/x
  3. Step 3: Cross multiply
    362,784x = 545,568 × 545,568
  4. Step 4: Simplify right side
    362,784x = 297,644,442,624
  5. Step 5: Solve for x
    x = 297,644,442,624/362,784
  6. Step 6: Final answer
    x = 820,445.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.