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Finding the Third Proportional to 331,184 and 719,992

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Solution

The third proportional to 331,184 and 719,992 is: 1,565,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,184 : 719,992 = 719,992 : x
  2. Step 2: Convert to fraction form
    331,184/719,992 = 719,992/x
  3. Step 3: Cross multiply
    331,184x = 719,992 × 719,992
  4. Step 4: Simplify right side
    331,184x = 518,388,480,064
  5. Step 5: Solve for x
    x = 518,388,480,064/331,184
  6. Step 6: Final answer
    x = 1,565,258.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.