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Finding the Third Proportional to 603,442.50 and 831,249.75

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Solution

The third proportional to 603,442.50 and 831,249.75 is: 1,145,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,442.50 : 831,249.75 = 831,249.75 : x
  2. Step 2: Convert to fraction form
    603,442.50/831,249.75 = 831,249.75/x
  3. Step 3: Cross multiply
    603,442.50x = 831,249.75 × 831,249.75
  4. Step 4: Simplify right side
    603,442.50x = 690,976,146,875.06
  5. Step 5: Solve for x
    x = 690,976,146,875.06/603,442.50
  6. Step 6: Final answer
    x = 1,145,057.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.