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Finding the Third Proportional to 364,686 and 793,206

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Solution

The third proportional to 364,686 and 793,206 is: 1,725,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,686 : 793,206 = 793,206 : x
  2. Step 2: Convert to fraction form
    364,686/793,206 = 793,206/x
  3. Step 3: Cross multiply
    364,686x = 793,206 × 793,206
  4. Step 4: Simplify right side
    364,686x = 629,175,758,436
  5. Step 5: Solve for x
    x = 629,175,758,436/364,686
  6. Step 6: Final answer
    x = 1,725,253.39

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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.