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Finding the Third Proportional to 362,565 and 777,591

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Solution

The third proportional to 362,565 and 777,591 is: 1,667,694.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,565 : 777,591 = 777,591 : x
  2. Step 2: Convert to fraction form
    362,565/777,591 = 777,591/x
  3. Step 3: Cross multiply
    362,565x = 777,591 × 777,591
  4. Step 4: Simplify right side
    362,565x = 604,647,763,281
  5. Step 5: Solve for x
    x = 604,647,763,281/362,565
  6. Step 6: Final answer
    x = 1,667,694.79

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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.