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Finding the Third Proportional to 337,937.06 and 523,082.81

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Solution

The third proportional to 337,937.06 and 523,082.81 is: 809,664.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,937.06 : 523,082.81 = 523,082.81 : x
  2. Step 2: Convert to fraction form
    337,937.06/523,082.81 = 523,082.81/x
  3. Step 3: Cross multiply
    337,937.06x = 523,082.81 × 523,082.81
  4. Step 4: Simplify right side
    337,937.06x = 273,615,628,732.91
  5. Step 5: Solve for x
    x = 273,615,628,732.91/337,937.06
  6. Step 6: Final answer
    x = 809,664.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.