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Finding the Third Proportional to 269,673 and 586,912.50

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Solution

The third proportional to 269,673 and 586,912.50 is: 1,277,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,673 : 586,912.50 = 586,912.50 : x
  2. Step 2: Convert to fraction form
    269,673/586,912.50 = 586,912.50/x
  3. Step 3: Cross multiply
    269,673x = 586,912.50 × 586,912.50
  4. Step 4: Simplify right side
    269,673x = 344,466,282,656.25
  5. Step 5: Solve for x
    x = 344,466,282,656.25/269,673
  6. Step 6: Final answer
    x = 1,277,348.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.