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Finding the Third Proportional to 334,932 and 454,816

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Solution

The third proportional to 334,932 and 454,816 is: 617,610.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,932 : 454,816 = 454,816 : x
  2. Step 2: Convert to fraction form
    334,932/454,816 = 454,816/x
  3. Step 3: Cross multiply
    334,932x = 454,816 × 454,816
  4. Step 4: Simplify right side
    334,932x = 206,857,593,856
  5. Step 5: Solve for x
    x = 206,857,593,856/334,932
  6. Step 6: Final answer
    x = 617,610.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.