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Finding the Third Proportional to 334,917 and 454,792.50

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Solution

The third proportional to 334,917 and 454,792.50 is: 617,574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,917 : 454,792.50 = 454,792.50 : x
  2. Step 2: Convert to fraction form
    334,917/454,792.50 = 454,792.50/x
  3. Step 3: Cross multiply
    334,917x = 454,792.50 × 454,792.50
  4. Step 4: Simplify right side
    334,917x = 206,836,218,056.25
  5. Step 5: Solve for x
    x = 206,836,218,056.25/334,917
  6. Step 6: Final answer
    x = 617,574.56

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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.