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Finding the Third Proportional to 303,029 and 659,113

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Solution

The third proportional to 303,029 and 659,113 is: 1,433,624.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,029 : 659,113 = 659,113 : x
  2. Step 2: Convert to fraction form
    303,029/659,113 = 659,113/x
  3. Step 3: Cross multiply
    303,029x = 659,113 × 659,113
  4. Step 4: Simplify right side
    303,029x = 434,429,946,769
  5. Step 5: Solve for x
    x = 434,429,946,769/303,029
  6. Step 6: Final answer
    x = 1,433,624.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.