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Finding the Third Proportional to 366,978 and 583,818

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Solution

The third proportional to 366,978 and 583,818 is: 928,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,978 : 583,818 = 583,818 : x
  2. Step 2: Convert to fraction form
    366,978/583,818 = 583,818/x
  3. Step 3: Cross multiply
    366,978x = 583,818 × 583,818
  4. Step 4: Simplify right side
    366,978x = 340,843,457,124
  5. Step 5: Solve for x
    x = 340,843,457,124/366,978
  6. Step 6: Final answer
    x = 928,784.44

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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.