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Finding the Third Proportional to 311,741 and 670,101.06

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Solution

The third proportional to 311,741 and 670,101.06 is: 1,440,411.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,741 : 670,101.06 = 670,101.06 : x
  2. Step 2: Convert to fraction form
    311,741/670,101.06 = 670,101.06/x
  3. Step 3: Cross multiply
    311,741x = 670,101.06 × 670,101.06
  4. Step 4: Simplify right side
    311,741x = 449,035,433,963.63
  5. Step 5: Solve for x
    x = 449,035,433,963.63/311,741
  6. Step 6: Final answer
    x = 1,440,411.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.