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Finding the Third Proportional to 303,798 and 664,781

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Solution

The third proportional to 303,798 and 664,781 is: 1,454,696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,798 : 664,781 = 664,781 : x
  2. Step 2: Convert to fraction form
    303,798/664,781 = 664,781/x
  3. Step 3: Cross multiply
    303,798x = 664,781 × 664,781
  4. Step 4: Simplify right side
    303,798x = 441,933,777,961
  5. Step 5: Solve for x
    x = 441,933,777,961/303,798
  6. Step 6: Final answer
    x = 1,454,696.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.