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Finding the Third Proportional to 207,362 and 454,132

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Solution

The third proportional to 207,362 and 454,132 is: 994,569.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,362 : 454,132 = 454,132 : x
  2. Step 2: Convert to fraction form
    207,362/454,132 = 454,132/x
  3. Step 3: Cross multiply
    207,362x = 454,132 × 454,132
  4. Step 4: Simplify right side
    207,362x = 206,235,873,424
  5. Step 5: Solve for x
    x = 206,235,873,424/207,362
  6. Step 6: Final answer
    x = 994,569.27

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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.