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Finding the Third Proportional to 364,684 and 793,202

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Solution

The third proportional to 364,684 and 793,202 is: 1,725,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,684 : 793,202 = 793,202 : x
  2. Step 2: Convert to fraction form
    364,684/793,202 = 793,202/x
  3. Step 3: Cross multiply
    364,684x = 793,202 × 793,202
  4. Step 4: Simplify right side
    364,684x = 629,169,412,804
  5. Step 5: Solve for x
    x = 629,169,412,804/364,684
  6. Step 6: Final answer
    x = 1,725,245.45

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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.