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Finding the Third Proportional to 362,868 and 769,656

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Solution

The third proportional to 362,868 and 769,656 is: 1,632,467.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,868 : 769,656 = 769,656 : x
  2. Step 2: Convert to fraction form
    362,868/769,656 = 769,656/x
  3. Step 3: Cross multiply
    362,868x = 769,656 × 769,656
  4. Step 4: Simplify right side
    362,868x = 592,370,358,336
  5. Step 5: Solve for x
    x = 592,370,358,336/362,868
  6. Step 6: Final answer
    x = 1,632,467.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.