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Finding the Third Proportional to 303,353 and 660,510

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Solution

The third proportional to 303,353 and 660,510 is: 1,438,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,353 : 660,510 = 660,510 : x
  2. Step 2: Convert to fraction form
    303,353/660,510 = 660,510/x
  3. Step 3: Cross multiply
    303,353x = 660,510 × 660,510
  4. Step 4: Simplify right side
    303,353x = 436,273,460,100
  5. Step 5: Solve for x
    x = 436,273,460,100/303,353
  6. Step 6: Final answer
    x = 1,438,170.91

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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.