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Finding the Third Proportional to 228,483 and 334,917

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Solution

The third proportional to 228,483 and 334,917 is: 490,931.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,483 : 334,917 = 334,917 : x
  2. Step 2: Convert to fraction form
    228,483/334,917 = 334,917/x
  3. Step 3: Cross multiply
    228,483x = 334,917 × 334,917
  4. Step 4: Simplify right side
    228,483x = 112,169,396,889
  5. Step 5: Solve for x
    x = 112,169,396,889/228,483
  6. Step 6: Final answer
    x = 490,931.04

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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.