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Finding the Third Proportional to 190,324.69 and 410,401.69

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Solution

The third proportional to 190,324.69 and 410,401.69 is: 884,959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,324.69 : 410,401.69 = 410,401.69 : x
  2. Step 2: Convert to fraction form
    190,324.69/410,401.69 = 410,401.69/x
  3. Step 3: Cross multiply
    190,324.69x = 410,401.69 × 410,401.69
  4. Step 4: Simplify right side
    190,324.69x = 168,429,545,102.85
  5. Step 5: Solve for x
    x = 168,429,545,102.85/190,324.69
  6. Step 6: Final answer
    x = 884,959.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.