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Finding the Third Proportional to 355,356 and 769,761

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Solution

The third proportional to 355,356 and 769,761 is: 1,667,432.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,356 : 769,761 = 769,761 : x
  2. Step 2: Convert to fraction form
    355,356/769,761 = 769,761/x
  3. Step 3: Cross multiply
    355,356x = 769,761 × 769,761
  4. Step 4: Simplify right side
    355,356x = 592,531,997,121
  5. Step 5: Solve for x
    x = 592,531,997,121/355,356
  6. Step 6: Final answer
    x = 1,667,432.09

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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.