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Finding the Third Proportional to 378,387 and 831,525.75

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Solution

The third proportional to 378,387 and 831,525.75 is: 1,827,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,387 : 831,525.75 = 831,525.75 : x
  2. Step 2: Convert to fraction form
    378,387/831,525.75 = 831,525.75/x
  3. Step 3: Cross multiply
    378,387x = 831,525.75 × 831,525.75
  4. Step 4: Simplify right side
    378,387x = 691,435,072,913.06
  5. Step 5: Solve for x
    x = 691,435,072,913.06/378,387
  6. Step 6: Final answer
    x = 1,827,322.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.