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Finding the Third Proportional to 305,672.97 and 670,394.94

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Solution

The third proportional to 305,672.97 and 670,394.94 is: 1,470,294.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,672.97 : 670,394.94 = 670,394.94 : x
  2. Step 2: Convert to fraction form
    305,672.97/670,394.94 = 670,394.94/x
  3. Step 3: Cross multiply
    305,672.97x = 670,394.94 × 670,394.94
  4. Step 4: Simplify right side
    305,672.97x = 449,429,372,225.63
  5. Step 5: Solve for x
    x = 449,429,372,225.63/305,672.97
  6. Step 6: Final answer
    x = 1,470,294.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.