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Finding the Third Proportional to 698,983.50 and 1,047,395.25

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Solution

The third proportional to 698,983.50 and 1,047,395.25 is: 1,569,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,983.50 : 1,047,395.25 = 1,047,395.25 : x
  2. Step 2: Convert to fraction form
    698,983.50/1,047,395.25 = 1,047,395.25/x
  3. Step 3: Cross multiply
    698,983.50x = 1,047,395.25 × 1,047,395.25
  4. Step 4: Simplify right side
    698,983.50x = 1,097,036,809,722.56
  5. Step 5: Solve for x
    x = 1,097,036,809,722.56/698,983.50
  6. Step 6: Final answer
    x = 1,569,474.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.