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Finding the Third Proportional to 228,957 and 336,574

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Solution

The third proportional to 228,957 and 336,574 is: 494,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,957 : 336,574 = 336,574 : x
  2. Step 2: Convert to fraction form
    228,957/336,574 = 336,574/x
  3. Step 3: Cross multiply
    228,957x = 336,574 × 336,574
  4. Step 4: Simplify right side
    228,957x = 113,282,057,476
  5. Step 5: Solve for x
    x = 113,282,057,476/228,957
  6. Step 6: Final answer
    x = 494,774.38

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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.