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Finding the Third Proportional to 520,036 and 798,976

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Solution

The third proportional to 520,036 and 798,976 is: 1,227,535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,036 : 798,976 = 798,976 : x
  2. Step 2: Convert to fraction form
    520,036/798,976 = 798,976/x
  3. Step 3: Cross multiply
    520,036x = 798,976 × 798,976
  4. Step 4: Simplify right side
    520,036x = 638,362,648,576
  5. Step 5: Solve for x
    x = 638,362,648,576/520,036
  6. Step 6: Final answer
    x = 1,227,535.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.