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Finding the Third Proportional to 325,404.75 and 700,816.88

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Solution

The third proportional to 325,404.75 and 700,816.88 is: 1,509,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,404.75 : 700,816.88 = 700,816.88 : x
  2. Step 2: Convert to fraction form
    325,404.75/700,816.88 = 700,816.88/x
  3. Step 3: Cross multiply
    325,404.75x = 700,816.88 × 700,816.88
  4. Step 4: Simplify right side
    325,404.75x = 491,144,292,284.77
  5. Step 5: Solve for x
    x = 491,144,292,284.77/325,404.75
  6. Step 6: Final answer
    x = 1,509,333.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.