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Finding the Third Proportional to 325,851.75 and 455,222.25

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Solution

The third proportional to 325,851.75 and 455,222.25 is: 635,955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,851.75 : 455,222.25 = 455,222.25 : x
  2. Step 2: Convert to fraction form
    325,851.75/455,222.25 = 455,222.25/x
  3. Step 3: Cross multiply
    325,851.75x = 455,222.25 × 455,222.25
  4. Step 4: Simplify right side
    325,851.75x = 207,227,296,895.06
  5. Step 5: Solve for x
    x = 207,227,296,895.06/325,851.75
  6. Step 6: Final answer
    x = 635,955.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.