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Finding the Third Proportional to 343,233 and 745,517

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Solution

The third proportional to 343,233 and 745,517 is: 1,619,295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,233 : 745,517 = 745,517 : x
  2. Step 2: Convert to fraction form
    343,233/745,517 = 745,517/x
  3. Step 3: Cross multiply
    343,233x = 745,517 × 745,517
  4. Step 4: Simplify right side
    343,233x = 555,795,597,289
  5. Step 5: Solve for x
    x = 555,795,597,289/343,233
  6. Step 6: Final answer
    x = 1,619,295.34

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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.