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Finding the Third Proportional to 292,412.50 and 440,778.75

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Solution

The third proportional to 292,412.50 and 440,778.75 is: 664,424.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,412.50 : 440,778.75 = 440,778.75 : x
  2. Step 2: Convert to fraction form
    292,412.50/440,778.75 = 440,778.75/x
  3. Step 3: Cross multiply
    292,412.50x = 440,778.75 × 440,778.75
  4. Step 4: Simplify right side
    292,412.50x = 194,285,906,451.56
  5. Step 5: Solve for x
    x = 194,285,906,451.56/292,412.50
  6. Step 6: Final answer
    x = 664,424.08

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