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Finding the Third Proportional to 228,448 and 334,878

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Solution

The third proportional to 228,448 and 334,878 is: 490,891.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,448 : 334,878 = 334,878 : x
  2. Step 2: Convert to fraction form
    228,448/334,878 = 334,878/x
  3. Step 3: Cross multiply
    228,448x = 334,878 × 334,878
  4. Step 4: Simplify right side
    228,448x = 112,143,274,884
  5. Step 5: Solve for x
    x = 112,143,274,884/228,448
  6. Step 6: Final answer
    x = 490,891.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.