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Finding the Third Proportional to 228,962 and 336,820

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Solution

The third proportional to 228,962 and 336,820 is: 495,487.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,962 : 336,820 = 336,820 : x
  2. Step 2: Convert to fraction form
    228,962/336,820 = 336,820/x
  3. Step 3: Cross multiply
    228,962x = 336,820 × 336,820
  4. Step 4: Simplify right side
    228,962x = 113,447,712,400
  5. Step 5: Solve for x
    x = 113,447,712,400/228,962
  6. Step 6: Final answer
    x = 495,487.08

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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.