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Finding the Third Proportional to 384,276 and 613,890

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Solution

The third proportional to 384,276 and 613,890 is: 980,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,276 : 613,890 = 613,890 : x
  2. Step 2: Convert to fraction form
    384,276/613,890 = 613,890/x
  3. Step 3: Cross multiply
    384,276x = 613,890 × 613,890
  4. Step 4: Simplify right side
    384,276x = 376,860,932,100
  5. Step 5: Solve for x
    x = 376,860,932,100/384,276
  6. Step 6: Final answer
    x = 980,703.80

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.