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Finding the Third Proportional to 209,226.50 and 457,576

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Solution

The third proportional to 209,226.50 and 457,576 is: 1,000,713.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,226.50 : 457,576 = 457,576 : x
  2. Step 2: Convert to fraction form
    209,226.50/457,576 = 457,576/x
  3. Step 3: Cross multiply
    209,226.50x = 457,576 × 457,576
  4. Step 4: Simplify right side
    209,226.50x = 209,375,795,776
  5. Step 5: Solve for x
    x = 209,375,795,776/209,226.50
  6. Step 6: Final answer
    x = 1,000,713.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.