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Finding the Third Proportional to 533,400.19 and 817,930.41

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Solution

The third proportional to 533,400.19 and 817,930.41 is: 1,254,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,400.19 : 817,930.41 = 817,930.41 : x
  2. Step 2: Convert to fraction form
    533,400.19/817,930.41 = 817,930.41/x
  3. Step 3: Cross multiply
    533,400.19x = 817,930.41 × 817,930.41
  4. Step 4: Simplify right side
    533,400.19x = 669,010,149,468.29
  5. Step 5: Solve for x
    x = 669,010,149,468.29/533,400.19
  6. Step 6: Final answer
    x = 1,254,236.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.