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Finding the Third Proportional to 712,809 and 942,205.50

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Solution

The third proportional to 712,809 and 942,205.50 is: 1,245,426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,809 : 942,205.50 = 942,205.50 : x
  2. Step 2: Convert to fraction form
    712,809/942,205.50 = 942,205.50/x
  3. Step 3: Cross multiply
    712,809x = 942,205.50 × 942,205.50
  4. Step 4: Simplify right side
    712,809x = 887,751,204,230.25
  5. Step 5: Solve for x
    x = 887,751,204,230.25/712,809
  6. Step 6: Final answer
    x = 1,245,426.48

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.