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Finding the Third Proportional to 303,940 and 659,396

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Solution

The third proportional to 303,940 and 659,396 is: 1,430,555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,940 : 659,396 = 659,396 : x
  2. Step 2: Convert to fraction form
    303,940/659,396 = 659,396/x
  3. Step 3: Cross multiply
    303,940x = 659,396 × 659,396
  4. Step 4: Simplify right side
    303,940x = 434,803,084,816
  5. Step 5: Solve for x
    x = 434,803,084,816/303,940
  6. Step 6: Final answer
    x = 1,430,555.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.