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Finding the Third Proportional to 345,864 and 745,092

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Solution

The third proportional to 345,864 and 745,092 is: 1,605,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,864 : 745,092 = 745,092 : x
  2. Step 2: Convert to fraction form
    345,864/745,092 = 745,092/x
  3. Step 3: Cross multiply
    345,864x = 745,092 × 745,092
  4. Step 4: Simplify right side
    345,864x = 555,162,088,464
  5. Step 5: Solve for x
    x = 555,162,088,464/345,864
  6. Step 6: Final answer
    x = 1,605,145.63

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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.