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Finding the Third Proportional to 552,759 and 828,976

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Solution

The third proportional to 552,759 and 828,976 is: 1,243,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,759 : 828,976 = 828,976 : x
  2. Step 2: Convert to fraction form
    552,759/828,976 = 828,976/x
  3. Step 3: Cross multiply
    552,759x = 828,976 × 828,976
  4. Step 4: Simplify right side
    552,759x = 687,201,208,576
  5. Step 5: Solve for x
    x = 687,201,208,576/552,759
  6. Step 6: Final answer
    x = 1,243,220.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.