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Finding the Third Proportional to 384,916 and 604,662

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Solution

The third proportional to 384,916 and 604,662 is: 949,859.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,916 : 604,662 = 604,662 : x
  2. Step 2: Convert to fraction form
    384,916/604,662 = 604,662/x
  3. Step 3: Cross multiply
    384,916x = 604,662 × 604,662
  4. Step 4: Simplify right side
    384,916x = 365,616,134,244
  5. Step 5: Solve for x
    x = 365,616,134,244/384,916
  6. Step 6: Final answer
    x = 949,859.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.