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Finding the Third Proportional to 209,042 and 451,624

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Solution

The third proportional to 209,042 and 451,624 is: 975,709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,042 : 451,624 = 451,624 : x
  2. Step 2: Convert to fraction form
    209,042/451,624 = 451,624/x
  3. Step 3: Cross multiply
    209,042x = 451,624 × 451,624
  4. Step 4: Simplify right side
    209,042x = 203,964,237,376
  5. Step 5: Solve for x
    x = 203,964,237,376/209,042
  6. Step 6: Final answer
    x = 975,709.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.