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Finding the Third Proportional to 456,394.50 and 684,757.13

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Solution

The third proportional to 456,394.50 and 684,757.13 is: 1,027,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,394.50 : 684,757.13 = 684,757.13 : x
  2. Step 2: Convert to fraction form
    456,394.50/684,757.13 = 684,757.13/x
  3. Step 3: Cross multiply
    456,394.50x = 684,757.13 × 684,757.13
  4. Step 4: Simplify right side
    456,394.50x = 468,892,320,238.27
  5. Step 5: Solve for x
    x = 468,892,320,238.27/456,394.50
  6. Step 6: Final answer
    x = 1,027,383.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.