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Finding the Third Proportional to 223,447.50 and 456,736.50

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Solution

The third proportional to 223,447.50 and 456,736.50 is: 933,589.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,447.50 : 456,736.50 = 456,736.50 : x
  2. Step 2: Convert to fraction form
    223,447.50/456,736.50 = 456,736.50/x
  3. Step 3: Cross multiply
    223,447.50x = 456,736.50 × 456,736.50
  4. Step 4: Simplify right side
    223,447.50x = 208,608,230,432.25
  5. Step 5: Solve for x
    x = 208,608,230,432.25/223,447.50
  6. Step 6: Final answer
    x = 933,589.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.