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Finding the Third Proportional to 325,408 and 700,824

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Solution

The third proportional to 325,408 and 700,824 is: 1,509,349.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,408 : 700,824 = 700,824 : x
  2. Step 2: Convert to fraction form
    325,408/700,824 = 700,824/x
  3. Step 3: Cross multiply
    325,408x = 700,824 × 700,824
  4. Step 4: Simplify right side
    325,408x = 491,154,278,976
  5. Step 5: Solve for x
    x = 491,154,278,976/325,408
  6. Step 6: Final answer
    x = 1,509,349.12

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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.