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Finding the Third Proportional to 388,906.31 and 831,758.63

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Solution

The third proportional to 388,906.31 and 831,758.63 is: 1,778,892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,906.31 : 831,758.63 = 831,758.63 : x
  2. Step 2: Convert to fraction form
    388,906.31/831,758.63 = 831,758.63/x
  3. Step 3: Cross multiply
    388,906.31x = 831,758.63 × 831,758.63
  4. Step 4: Simplify right side
    388,906.31x = 691,822,410,261.89
  5. Step 5: Solve for x
    x = 691,822,410,261.89/388,906.31
  6. Step 6: Final answer
    x = 1,778,892.21

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.