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Finding the Third Proportional to 336,783 and 522,933

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Solution

The third proportional to 336,783 and 522,933 is: 811,973.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,783 : 522,933 = 522,933 : x
  2. Step 2: Convert to fraction form
    336,783/522,933 = 522,933/x
  3. Step 3: Cross multiply
    336,783x = 522,933 × 522,933
  4. Step 4: Simplify right side
    336,783x = 273,458,922,489
  5. Step 5: Solve for x
    x = 273,458,922,489/336,783
  6. Step 6: Final answer
    x = 811,973.65

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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.