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Finding the Third Proportional to 293,886 and 600,223

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Solution

The third proportional to 293,886 and 600,223 is: 1,225,875.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,886 : 600,223 = 600,223 : x
  2. Step 2: Convert to fraction form
    293,886/600,223 = 600,223/x
  3. Step 3: Cross multiply
    293,886x = 600,223 × 600,223
  4. Step 4: Simplify right side
    293,886x = 360,267,649,729
  5. Step 5: Solve for x
    x = 360,267,649,729/293,886
  6. Step 6: Final answer
    x = 1,225,875.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.