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Finding the Third Proportional to 409,767.75 and 620,365.50

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Solution

The third proportional to 409,767.75 and 620,365.50 is: 939,198.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,767.75 : 620,365.50 = 620,365.50 : x
  2. Step 2: Convert to fraction form
    409,767.75/620,365.50 = 620,365.50/x
  3. Step 3: Cross multiply
    409,767.75x = 620,365.50 × 620,365.50
  4. Step 4: Simplify right side
    409,767.75x = 384,853,353,590.25
  5. Step 5: Solve for x
    x = 384,853,353,590.25/409,767.75
  6. Step 6: Final answer
    x = 939,198.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.