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Finding the Third Proportional to 322,952.06 and 754,322.63

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Solution

The third proportional to 322,952.06 and 754,322.63 is: 1,761,879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,952.06 : 754,322.63 = 754,322.63 : x
  2. Step 2: Convert to fraction form
    322,952.06/754,322.63 = 754,322.63/x
  3. Step 3: Cross multiply
    322,952.06x = 754,322.63 × 754,322.63
  4. Step 4: Simplify right side
    322,952.06x = 569,002,622,586.89
  5. Step 5: Solve for x
    x = 569,002,622,586.89/322,952.06
  6. Step 6: Final answer
    x = 1,761,879.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.