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Finding the Third Proportional to 190,401.89 and 413,627.77

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Solution

The third proportional to 190,401.89 and 413,627.77 is: 898,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,401.89 : 413,627.77 = 413,627.77 : x
  2. Step 2: Convert to fraction form
    190,401.89/413,627.77 = 413,627.77/x
  3. Step 3: Cross multiply
    190,401.89x = 413,627.77 × 413,627.77
  4. Step 4: Simplify right side
    190,401.89x = 171,087,928,495.93
  5. Step 5: Solve for x
    x = 171,087,928,495.93/190,401.89
  6. Step 6: Final answer
    x = 898,562.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.