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Finding the Third Proportional to 303,884 and 665,026

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Solution

The third proportional to 303,884 and 665,026 is: 1,455,356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,884 : 665,026 = 665,026 : x
  2. Step 2: Convert to fraction form
    303,884/665,026 = 665,026/x
  3. Step 3: Cross multiply
    303,884x = 665,026 × 665,026
  4. Step 4: Simplify right side
    303,884x = 442,259,580,676
  5. Step 5: Solve for x
    x = 442,259,580,676/303,884
  6. Step 6: Final answer
    x = 1,455,356.59

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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.