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Finding the Third Proportional to 289,935 and 599,759

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Solution

The third proportional to 289,935 and 599,759 is: 1,240,660.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,935 : 599,759 = 599,759 : x
  2. Step 2: Convert to fraction form
    289,935/599,759 = 599,759/x
  3. Step 3: Cross multiply
    289,935x = 599,759 × 599,759
  4. Step 4: Simplify right side
    289,935x = 359,710,858,081
  5. Step 5: Solve for x
    x = 359,710,858,081/289,935
  6. Step 6: Final answer
    x = 1,240,660.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.