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Finding the Third Proportional to 303,574 and 659,635

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Solution

The third proportional to 303,574 and 659,635 is: 1,433,318.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,574 : 659,635 = 659,635 : x
  2. Step 2: Convert to fraction form
    303,574/659,635 = 659,635/x
  3. Step 3: Cross multiply
    303,574x = 659,635 × 659,635
  4. Step 4: Simplify right side
    303,574x = 435,118,333,225
  5. Step 5: Solve for x
    x = 435,118,333,225/303,574
  6. Step 6: Final answer
    x = 1,433,318.84

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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.