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Finding the Third Proportional to 785,266.25 and 1,245,455.75

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Solution

The third proportional to 785,266.25 and 1,245,455.75 is: 1,975,330.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,266.25 : 1,245,455.75 = 1,245,455.75 : x
  2. Step 2: Convert to fraction form
    785,266.25/1,245,455.75 = 1,245,455.75/x
  3. Step 3: Cross multiply
    785,266.25x = 1,245,455.75 × 1,245,455.75
  4. Step 4: Simplify right side
    785,266.25x = 1,551,160,025,208.06
  5. Step 5: Solve for x
    x = 1,551,160,025,208.06/785,266.25
  6. Step 6: Final answer
    x = 1,975,330.06

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.