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Finding the Third Proportional to 366,976 and 583,815

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Solution

The third proportional to 366,976 and 583,815 is: 928,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,976 : 583,815 = 583,815 : x
  2. Step 2: Convert to fraction form
    366,976/583,815 = 583,815/x
  3. Step 3: Cross multiply
    366,976x = 583,815 × 583,815
  4. Step 4: Simplify right side
    366,976x = 340,839,954,225
  5. Step 5: Solve for x
    x = 340,839,954,225/366,976
  6. Step 6: Final answer
    x = 928,779.96

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.