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Finding the Third Proportional to 228,965 and 336,592

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Solution

The third proportional to 228,965 and 336,592 is: 494,810.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,965 : 336,592 = 336,592 : x
  2. Step 2: Convert to fraction form
    228,965/336,592 = 336,592/x
  3. Step 3: Cross multiply
    228,965x = 336,592 × 336,592
  4. Step 4: Simplify right side
    228,965x = 113,294,174,464
  5. Step 5: Solve for x
    x = 113,294,174,464/228,965
  6. Step 6: Final answer
    x = 494,810.01

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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.