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Finding the Third Proportional to 361,243 and 793,991

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Solution

The third proportional to 361,243 and 793,991 is: 1,745,145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,243 : 793,991 = 793,991 : x
  2. Step 2: Convert to fraction form
    361,243/793,991 = 793,991/x
  3. Step 3: Cross multiply
    361,243x = 793,991 × 793,991
  4. Step 4: Simplify right side
    361,243x = 630,421,708,081
  5. Step 5: Solve for x
    x = 630,421,708,081/361,243
  6. Step 6: Final answer
    x = 1,745,145.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.