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Finding the Third Proportional to 336,731 and 522,803

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Solution

The third proportional to 336,731 and 522,803 is: 811,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,731 : 522,803 = 522,803 : x
  2. Step 2: Convert to fraction form
    336,731/522,803 = 522,803/x
  3. Step 3: Cross multiply
    336,731x = 522,803 × 522,803
  4. Step 4: Simplify right side
    336,731x = 273,322,976,809
  5. Step 5: Solve for x
    x = 273,322,976,809/336,731
  6. Step 6: Final answer
    x = 811,695.32

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