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Finding the Third Proportional to 517,908.94 and 656,305.03

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Solution

The third proportional to 517,908.94 and 656,305.03 is: 831,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,908.94 : 656,305.03 = 656,305.03 : x
  2. Step 2: Convert to fraction form
    517,908.94/656,305.03 = 656,305.03/x
  3. Step 3: Cross multiply
    517,908.94x = 656,305.03 × 656,305.03
  4. Step 4: Simplify right side
    517,908.94x = 430,736,294,044.06
  5. Step 5: Solve for x
    x = 430,736,294,044.06/517,908.94
  6. Step 6: Final answer
    x = 831,683.45

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.