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Finding the Third Proportional to 407,778.75 and 921,309.75

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Solution

The third proportional to 407,778.75 and 921,309.75 is: 2,081,549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,778.75 : 921,309.75 = 921,309.75 : x
  2. Step 2: Convert to fraction form
    407,778.75/921,309.75 = 921,309.75/x
  3. Step 3: Cross multiply
    407,778.75x = 921,309.75 × 921,309.75
  4. Step 4: Simplify right side
    407,778.75x = 848,811,655,445.06
  5. Step 5: Solve for x
    x = 848,811,655,445.06/407,778.75
  6. Step 6: Final answer
    x = 2,081,549.51

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.