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Finding the Third Proportional to 362,568 and 777,624

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Solution

The third proportional to 362,568 and 777,624 is: 1,667,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,568 : 777,624 = 777,624 : x
  2. Step 2: Convert to fraction form
    362,568/777,624 = 777,624/x
  3. Step 3: Cross multiply
    362,568x = 777,624 × 777,624
  4. Step 4: Simplify right side
    362,568x = 604,699,085,376
  5. Step 5: Solve for x
    x = 604,699,085,376/362,568
  6. Step 6: Final answer
    x = 1,667,822.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.