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Finding the Third Proportional to 709,984.50 and 1,072,368.75

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Solution

The third proportional to 709,984.50 and 1,072,368.75 is: 1,619,718.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,984.50 : 1,072,368.75 = 1,072,368.75 : x
  2. Step 2: Convert to fraction form
    709,984.50/1,072,368.75 = 1,072,368.75/x
  3. Step 3: Cross multiply
    709,984.50x = 1,072,368.75 × 1,072,368.75
  4. Step 4: Simplify right side
    709,984.50x = 1,149,974,735,976.56
  5. Step 5: Solve for x
    x = 1,149,974,735,976.56/709,984.50
  6. Step 6: Final answer
    x = 1,619,718.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.