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Finding the Third Proportional to 384,086 and 596,758

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Solution

The third proportional to 384,086 and 596,758 is: 927,188.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,086 : 596,758 = 596,758 : x
  2. Step 2: Convert to fraction form
    384,086/596,758 = 596,758/x
  3. Step 3: Cross multiply
    384,086x = 596,758 × 596,758
  4. Step 4: Simplify right side
    384,086x = 356,120,110,564
  5. Step 5: Solve for x
    x = 356,120,110,564/384,086
  6. Step 6: Final answer
    x = 927,188.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.