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Finding the Third Proportional to 405,898.50 and 876,837.75

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Solution

The third proportional to 405,898.50 and 876,837.75 is: 1,894,179.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,898.50 : 876,837.75 = 876,837.75 : x
  2. Step 2: Convert to fraction form
    405,898.50/876,837.75 = 876,837.75/x
  3. Step 3: Cross multiply
    405,898.50x = 876,837.75 × 876,837.75
  4. Step 4: Simplify right side
    405,898.50x = 768,844,439,825.06
  5. Step 5: Solve for x
    x = 768,844,439,825.06/405,898.50
  6. Step 6: Final answer
    x = 1,894,179.06

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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.