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Finding the Third Proportional to 226,050.75 and 487,093.50

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Solution

The third proportional to 226,050.75 and 487,093.50 is: 1,049,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,050.75 : 487,093.50 = 487,093.50 : x
  2. Step 2: Convert to fraction form
    226,050.75/487,093.50 = 487,093.50/x
  3. Step 3: Cross multiply
    226,050.75x = 487,093.50 × 487,093.50
  4. Step 4: Simplify right side
    226,050.75x = 237,260,077,742.25
  5. Step 5: Solve for x
    x = 237,260,077,742.25/226,050.75
  6. Step 6: Final answer
    x = 1,049,587.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.