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Finding the Third Proportional to 303,935 and 659,386

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Solution

The third proportional to 303,935 and 659,386 is: 1,430,535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,935 : 659,386 = 659,386 : x
  2. Step 2: Convert to fraction form
    303,935/659,386 = 659,386/x
  3. Step 3: Cross multiply
    303,935x = 659,386 × 659,386
  4. Step 4: Simplify right side
    303,935x = 434,789,896,996
  5. Step 5: Solve for x
    x = 434,789,896,996/303,935
  6. Step 6: Final answer
    x = 1,430,535.80

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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.