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Finding the Third Proportional to 646,505 and 978,756

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Solution

The third proportional to 646,505 and 978,756 is: 1,481,757.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,505 : 978,756 = 978,756 : x
  2. Step 2: Convert to fraction form
    646,505/978,756 = 978,756/x
  3. Step 3: Cross multiply
    646,505x = 978,756 × 978,756
  4. Step 4: Simplify right side
    646,505x = 957,963,307,536
  5. Step 5: Solve for x
    x = 957,963,307,536/646,505
  6. Step 6: Final answer
    x = 1,481,757.00

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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.