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Finding the Third Proportional to 322,014 and 423,567

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Solution

The third proportional to 322,014 and 423,567 is: 557,146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,014 : 423,567 = 423,567 : x
  2. Step 2: Convert to fraction form
    322,014/423,567 = 423,567/x
  3. Step 3: Cross multiply
    322,014x = 423,567 × 423,567
  4. Step 4: Simplify right side
    322,014x = 179,409,003,489
  5. Step 5: Solve for x
    x = 179,409,003,489/322,014
  6. Step 6: Final answer
    x = 557,146.59

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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.