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Finding the Third Proportional to 651,933 and 959,033.25

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Solution

The third proportional to 651,933 and 959,033.25 is: 1,410,796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,933 : 959,033.25 = 959,033.25 : x
  2. Step 2: Convert to fraction form
    651,933/959,033.25 = 959,033.25/x
  3. Step 3: Cross multiply
    651,933x = 959,033.25 × 959,033.25
  4. Step 4: Simplify right side
    651,933x = 919,744,774,605.56
  5. Step 5: Solve for x
    x = 919,744,774,605.56/651,933
  6. Step 6: Final answer
    x = 1,410,796.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.