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Finding the Third Proportional to 413,487.28 and 877,161.66

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Solution

The third proportional to 413,487.28 and 877,161.66 is: 1,860,788.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,487.28 : 877,161.66 = 877,161.66 : x
  2. Step 2: Convert to fraction form
    413,487.28/877,161.66 = 877,161.66/x
  3. Step 3: Cross multiply
    413,487.28x = 877,161.66 × 877,161.66
  4. Step 4: Simplify right side
    413,487.28x = 769,412,571,195.24
  5. Step 5: Solve for x
    x = 769,412,571,195.24/413,487.28
  6. Step 6: Final answer
    x = 1,860,788.97

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.