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Finding the Third Proportional to 354,737 and 768,442

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Solution

The third proportional to 354,737 and 768,442 is: 1,664,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,737 : 768,442 = 768,442 : x
  2. Step 2: Convert to fraction form
    354,737/768,442 = 768,442/x
  3. Step 3: Cross multiply
    354,737x = 768,442 × 768,442
  4. Step 4: Simplify right side
    354,737x = 590,503,107,364
  5. Step 5: Solve for x
    x = 590,503,107,364/354,737
  6. Step 6: Final answer
    x = 1,664,622.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.