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Finding the Third Proportional to 247,222.50 and 524,793

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Solution

The third proportional to 247,222.50 and 524,793 is: 1,114,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,222.50 : 524,793 = 524,793 : x
  2. Step 2: Convert to fraction form
    247,222.50/524,793 = 524,793/x
  3. Step 3: Cross multiply
    247,222.50x = 524,793 × 524,793
  4. Step 4: Simplify right side
    247,222.50x = 275,407,692,849
  5. Step 5: Solve for x
    x = 275,407,692,849/247,222.50
  6. Step 6: Final answer
    x = 1,114,007.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.