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Finding the Third Proportional to 303,849 and 662,367

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Solution

The third proportional to 303,849 and 662,367 is: 1,443,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,849 : 662,367 = 662,367 : x
  2. Step 2: Convert to fraction form
    303,849/662,367 = 662,367/x
  3. Step 3: Cross multiply
    303,849x = 662,367 × 662,367
  4. Step 4: Simplify right side
    303,849x = 438,730,042,689
  5. Step 5: Solve for x
    x = 438,730,042,689/303,849
  6. Step 6: Final answer
    x = 1,443,908.13

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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.