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Finding the Third Proportional to 303,106 and 660,484

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Solution

The third proportional to 303,106 and 660,484 is: 1,439,229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,106 : 660,484 = 660,484 : x
  2. Step 2: Convert to fraction form
    303,106/660,484 = 660,484/x
  3. Step 3: Cross multiply
    303,106x = 660,484 × 660,484
  4. Step 4: Simplify right side
    303,106x = 436,239,114,256
  5. Step 5: Solve for x
    x = 436,239,114,256/303,106
  6. Step 6: Final answer
    x = 1,439,229.56

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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.