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Finding the Third Proportional to 366,922 and 788,098

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Solution

The third proportional to 366,922 and 788,098 is: 1,692,726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,922 : 788,098 = 788,098 : x
  2. Step 2: Convert to fraction form
    366,922/788,098 = 788,098/x
  3. Step 3: Cross multiply
    366,922x = 788,098 × 788,098
  4. Step 4: Simplify right side
    366,922x = 621,098,457,604
  5. Step 5: Solve for x
    x = 621,098,457,604/366,922
  6. Step 6: Final answer
    x = 1,692,726.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.