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Finding the Third Proportional to 303,541 and 445,470

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Solution

The third proportional to 303,541 and 445,470 is: 653,761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,541 : 445,470 = 445,470 : x
  2. Step 2: Convert to fraction form
    303,541/445,470 = 445,470/x
  3. Step 3: Cross multiply
    303,541x = 445,470 × 445,470
  4. Step 4: Simplify right side
    303,541x = 198,443,520,900
  5. Step 5: Solve for x
    x = 198,443,520,900/303,541
  6. Step 6: Final answer
    x = 653,761.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.