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Finding the Third Proportional to 366,976 and 564,235

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Solution

The third proportional to 366,976 and 564,235 is: 867,525.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,976 : 564,235 = 564,235 : x
  2. Step 2: Convert to fraction form
    366,976/564,235 = 564,235/x
  3. Step 3: Cross multiply
    366,976x = 564,235 × 564,235
  4. Step 4: Simplify right side
    366,976x = 318,361,135,225
  5. Step 5: Solve for x
    x = 318,361,135,225/366,976
  6. Step 6: Final answer
    x = 867,525.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.