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Finding the Third Proportional to 334,852 and 722,816

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Solution

The third proportional to 334,852 and 722,816 is: 1,560,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,852 : 722,816 = 722,816 : x
  2. Step 2: Convert to fraction form
    334,852/722,816 = 722,816/x
  3. Step 3: Cross multiply
    334,852x = 722,816 × 722,816
  4. Step 4: Simplify right side
    334,852x = 522,462,969,856
  5. Step 5: Solve for x
    x = 522,462,969,856/334,852
  6. Step 6: Final answer
    x = 1,560,280.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.