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Finding the Third Proportional to 496,826.25 and 1,077,669.75

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Solution

The third proportional to 496,826.25 and 1,077,669.75 is: 2,337,581.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,826.25 : 1,077,669.75 = 1,077,669.75 : x
  2. Step 2: Convert to fraction form
    496,826.25/1,077,669.75 = 1,077,669.75/x
  3. Step 3: Cross multiply
    496,826.25x = 1,077,669.75 × 1,077,669.75
  4. Step 4: Simplify right side
    496,826.25x = 1,161,372,090,065.06
  5. Step 5: Solve for x
    x = 1,161,372,090,065.06/496,826.25
  6. Step 6: Final answer
    x = 2,337,581.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.