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Finding the Third Proportional to 228,967 and 336,583

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Solution

The third proportional to 228,967 and 336,583 is: 494,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,967 : 336,583 = 336,583 : x
  2. Step 2: Convert to fraction form
    228,967/336,583 = 336,583/x
  3. Step 3: Cross multiply
    228,967x = 336,583 × 336,583
  4. Step 4: Simplify right side
    228,967x = 113,288,115,889
  5. Step 5: Solve for x
    x = 113,288,115,889/228,967
  6. Step 6: Final answer
    x = 494,779.23

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