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Finding the Third Proportional to 209,225 and 457,573

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Solution

The third proportional to 209,225 and 457,573 is: 1,000,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,225 : 457,573 = 457,573 : x
  2. Step 2: Convert to fraction form
    209,225/457,573 = 457,573/x
  3. Step 3: Cross multiply
    209,225x = 457,573 × 457,573
  4. Step 4: Simplify right side
    209,225x = 209,373,050,329
  5. Step 5: Solve for x
    x = 209,373,050,329/209,225
  6. Step 6: Final answer
    x = 1,000,707.61

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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.