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Finding the Third Proportional to 223,627.50 and 447,072

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Solution

The third proportional to 223,627.50 and 447,072 is: 893,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,627.50 : 447,072 = 447,072 : x
  2. Step 2: Convert to fraction form
    223,627.50/447,072 = 447,072/x
  3. Step 3: Cross multiply
    223,627.50x = 447,072 × 447,072
  4. Step 4: Simplify right side
    223,627.50x = 199,873,373,184
  5. Step 5: Solve for x
    x = 199,873,373,184/223,627.50
  6. Step 6: Final answer
    x = 893,778.15

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.