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Finding the Third Proportional to 334,980 and 454,878

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Solution

The third proportional to 334,980 and 454,878 is: 617,690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,980 : 454,878 = 454,878 : x
  2. Step 2: Convert to fraction form
    334,980/454,878 = 454,878/x
  3. Step 3: Cross multiply
    334,980x = 454,878 × 454,878
  4. Step 4: Simplify right side
    334,980x = 206,913,994,884
  5. Step 5: Solve for x
    x = 206,913,994,884/334,980
  6. Step 6: Final answer
    x = 617,690.59

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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.