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Finding the Third Proportional to 496,820.25 and 1,077,657.75

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Solution

The third proportional to 496,820.25 and 1,077,657.75 is: 2,337,558.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,820.25 : 1,077,657.75 = 1,077,657.75 : x
  2. Step 2: Convert to fraction form
    496,820.25/1,077,657.75 = 1,077,657.75/x
  3. Step 3: Cross multiply
    496,820.25x = 1,077,657.75 × 1,077,657.75
  4. Step 4: Simplify right side
    496,820.25x = 1,161,346,226,135.06
  5. Step 5: Solve for x
    x = 1,161,346,226,135.06/496,820.25
  6. Step 6: Final answer
    x = 2,337,558.15

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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.