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Finding the Third Proportional to 289,937 and 599,763

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Solution

The third proportional to 289,937 and 599,763 is: 1,240,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,937 : 599,763 = 599,763 : x
  2. Step 2: Convert to fraction form
    289,937/599,763 = 599,763/x
  3. Step 3: Cross multiply
    289,937x = 599,763 × 599,763
  4. Step 4: Simplify right side
    289,937x = 359,715,656,169
  5. Step 5: Solve for x
    x = 359,715,656,169/289,937
  6. Step 6: Final answer
    x = 1,240,668.34

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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.