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Finding the Third Proportional to 404,736.75 and 876,541.50

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Solution

The third proportional to 404,736.75 and 876,541.50 is: 1,898,332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,736.75 : 876,541.50 = 876,541.50 : x
  2. Step 2: Convert to fraction form
    404,736.75/876,541.50 = 876,541.50/x
  3. Step 3: Cross multiply
    404,736.75x = 876,541.50 × 876,541.50
  4. Step 4: Simplify right side
    404,736.75x = 768,325,001,222.25
  5. Step 5: Solve for x
    x = 768,325,001,222.25/404,736.75
  6. Step 6: Final answer
    x = 1,898,332.68

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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.