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Finding the Third Proportional to 250,066 and 589,940

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Solution

The third proportional to 250,066 and 589,940 is: 1,391,749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,066 : 589,940 = 589,940 : x
  2. Step 2: Convert to fraction form
    250,066/589,940 = 589,940/x
  3. Step 3: Cross multiply
    250,066x = 589,940 × 589,940
  4. Step 4: Simplify right side
    250,066x = 348,029,203,600
  5. Step 5: Solve for x
    x = 348,029,203,600/250,066
  6. Step 6: Final answer
    x = 1,391,749.39

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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.