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Finding the Third Proportional to 364,662 and 795,906

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Solution

The third proportional to 364,662 and 795,906 is: 1,737,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,662 : 795,906 = 795,906 : x
  2. Step 2: Convert to fraction form
    364,662/795,906 = 795,906/x
  3. Step 3: Cross multiply
    364,662x = 795,906 × 795,906
  4. Step 4: Simplify right side
    364,662x = 633,466,360,836
  5. Step 5: Solve for x
    x = 633,466,360,836/364,662
  6. Step 6: Final answer
    x = 1,737,132.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.