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Finding the Third Proportional to 258,615.75 and 402,321.75

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Solution

The third proportional to 258,615.75 and 402,321.75 is: 625,881.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,615.75 : 402,321.75 = 402,321.75 : x
  2. Step 2: Convert to fraction form
    258,615.75/402,321.75 = 402,321.75/x
  3. Step 3: Cross multiply
    258,615.75x = 402,321.75 × 402,321.75
  4. Step 4: Simplify right side
    258,615.75x = 161,862,790,523.06
  5. Step 5: Solve for x
    x = 161,862,790,523.06/258,615.75
  6. Step 6: Final answer
    x = 625,881.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.