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Finding the Third Proportional to 345,944 and 759,992

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Solution

The third proportional to 345,944 and 759,992 is: 1,669,599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,944 : 759,992 = 759,992 : x
  2. Step 2: Convert to fraction form
    345,944/759,992 = 759,992/x
  3. Step 3: Cross multiply
    345,944x = 759,992 × 759,992
  4. Step 4: Simplify right side
    345,944x = 577,587,840,064
  5. Step 5: Solve for x
    x = 577,587,840,064/345,944
  6. Step 6: Final answer
    x = 1,669,599.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.