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Finding the Third Proportional to 362,564 and 777,589

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Solution

The third proportional to 362,564 and 777,589 is: 1,667,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,564 : 777,589 = 777,589 : x
  2. Step 2: Convert to fraction form
    362,564/777,589 = 777,589/x
  3. Step 3: Cross multiply
    362,564x = 777,589 × 777,589
  4. Step 4: Simplify right side
    362,564x = 604,644,652,921
  5. Step 5: Solve for x
    x = 604,644,652,921/362,564
  6. Step 6: Final answer
    x = 1,667,690.82

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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.