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Finding the Third Proportional to 225,907.50 and 486,805.50

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Solution

The third proportional to 225,907.50 and 486,805.50 is: 1,049,011.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,907.50 : 486,805.50 = 486,805.50 : x
  2. Step 2: Convert to fraction form
    225,907.50/486,805.50 = 486,805.50/x
  3. Step 3: Cross multiply
    225,907.50x = 486,805.50 × 486,805.50
  4. Step 4: Simplify right side
    225,907.50x = 236,979,594,830.25
  5. Step 5: Solve for x
    x = 236,979,594,830.25/225,907.50
  6. Step 6: Final answer
    x = 1,049,011.63

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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.