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Finding the Third Proportional to 209,970 and 454,932

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Solution

The third proportional to 209,970 and 454,932 is: 985,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,970 : 454,932 = 454,932 : x
  2. Step 2: Convert to fraction form
    209,970/454,932 = 454,932/x
  3. Step 3: Cross multiply
    209,970x = 454,932 × 454,932
  4. Step 4: Simplify right side
    209,970x = 206,963,124,624
  5. Step 5: Solve for x
    x = 206,963,124,624/209,970
  6. Step 6: Final answer
    x = 985,679.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.