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Finding the Third Proportional to 319,320 and 377,640.56

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Solution

The third proportional to 319,320 and 377,640.56 is: 446,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,320 : 377,640.56 = 377,640.56 : x
  2. Step 2: Convert to fraction form
    319,320/377,640.56 = 377,640.56/x
  3. Step 3: Cross multiply
    319,320x = 377,640.56 × 377,640.56
  4. Step 4: Simplify right side
    319,320x = 142,612,394,445.32
  5. Step 5: Solve for x
    x = 142,612,394,445.32/319,320
  6. Step 6: Final answer
    x = 446,612.78

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.