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Finding the Third Proportional to 289,938 and 599,764

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Solution

The third proportional to 289,938 and 599,764 is: 1,240,668.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,938 : 599,764 = 599,764 : x
  2. Step 2: Convert to fraction form
    289,938/599,764 = 599,764/x
  3. Step 3: Cross multiply
    289,938x = 599,764 × 599,764
  4. Step 4: Simplify right side
    289,938x = 359,716,855,696
  5. Step 5: Solve for x
    x = 359,716,855,696/289,938
  6. Step 6: Final answer
    x = 1,240,668.20

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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.