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Finding the Third Proportional to 411,067.50 and 896,836

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Solution

The third proportional to 411,067.50 and 896,836 is: 1,956,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,067.50 : 896,836 = 896,836 : x
  2. Step 2: Convert to fraction form
    411,067.50/896,836 = 896,836/x
  3. Step 3: Cross multiply
    411,067.50x = 896,836 × 896,836
  4. Step 4: Simplify right side
    411,067.50x = 804,314,810,896
  5. Step 5: Solve for x
    x = 804,314,810,896/411,067.50
  6. Step 6: Final answer
    x = 1,956,649.00

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.