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Finding the Third Proportional to 577,323.15 and 831,606.75

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Solution

The third proportional to 577,323.15 and 831,606.75 is: 1,197,890.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,323.15 : 831,606.75 = 831,606.75 : x
  2. Step 2: Convert to fraction form
    577,323.15/831,606.75 = 831,606.75/x
  3. Step 3: Cross multiply
    577,323.15x = 831,606.75 × 831,606.75
  4. Step 4: Simplify right side
    577,323.15x = 691,569,786,645.56
  5. Step 5: Solve for x
    x = 691,569,786,645.56/577,323.15
  6. Step 6: Final answer
    x = 1,197,890.28

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.