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Finding the Third Proportional to 361,154 and 788,932

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Solution

The third proportional to 361,154 and 788,932 is: 1,723,402.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,154 : 788,932 = 788,932 : x
  2. Step 2: Convert to fraction form
    361,154/788,932 = 788,932/x
  3. Step 3: Cross multiply
    361,154x = 788,932 × 788,932
  4. Step 4: Simplify right side
    361,154x = 622,413,700,624
  5. Step 5: Solve for x
    x = 622,413,700,624/361,154
  6. Step 6: Final answer
    x = 1,723,402.48

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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.