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Finding the Third Proportional to 423,098.25 and 881,190.75

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Solution

The third proportional to 423,098.25 and 881,190.75 is: 1,835,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,098.25 : 881,190.75 = 881,190.75 : x
  2. Step 2: Convert to fraction form
    423,098.25/881,190.75 = 881,190.75/x
  3. Step 3: Cross multiply
    423,098.25x = 881,190.75 × 881,190.75
  4. Step 4: Simplify right side
    423,098.25x = 776,497,137,885.56
  5. Step 5: Solve for x
    x = 776,497,137,885.56/423,098.25
  6. Step 6: Final answer
    x = 1,835,264.36

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.