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Finding the Third Proportional to 250,062 and 589,933

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Solution

The third proportional to 250,062 and 589,933 is: 1,391,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,062 : 589,933 = 589,933 : x
  2. Step 2: Convert to fraction form
    250,062/589,933 = 589,933/x
  3. Step 3: Cross multiply
    250,062x = 589,933 × 589,933
  4. Step 4: Simplify right side
    250,062x = 348,020,944,489
  5. Step 5: Solve for x
    x = 348,020,944,489/250,062
  6. Step 6: Final answer
    x = 1,391,738.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.