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Finding the Third Proportional to 209,007 and 451,548

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Solution

The third proportional to 209,007 and 451,548 is: 975,544.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,007 : 451,548 = 451,548 : x
  2. Step 2: Convert to fraction form
    209,007/451,548 = 451,548/x
  3. Step 3: Cross multiply
    209,007x = 451,548 × 451,548
  4. Step 4: Simplify right side
    209,007x = 203,895,596,304
  5. Step 5: Solve for x
    x = 203,895,596,304/209,007
  6. Step 6: Final answer
    x = 975,544.34

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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.