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Finding the Third Proportional to 322,028 and 423,568

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Solution

The third proportional to 322,028 and 423,568 is: 557,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,028 : 423,568 = 423,568 : x
  2. Step 2: Convert to fraction form
    322,028/423,568 = 423,568/x
  3. Step 3: Cross multiply
    322,028x = 423,568 × 423,568
  4. Step 4: Simplify right side
    322,028x = 179,409,850,624
  5. Step 5: Solve for x
    x = 179,409,850,624/322,028
  6. Step 6: Final answer
    x = 557,125.00

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.