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Finding the Third Proportional to 366,932 and 788,118

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Solution

The third proportional to 366,932 and 788,118 is: 1,692,765.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,932 : 788,118 = 788,118 : x
  2. Step 2: Convert to fraction form
    366,932/788,118 = 788,118/x
  3. Step 3: Cross multiply
    366,932x = 788,118 × 788,118
  4. Step 4: Simplify right side
    366,932x = 621,129,981,924
  5. Step 5: Solve for x
    x = 621,129,981,924/366,932
  6. Step 6: Final answer
    x = 1,692,765.91

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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.