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Finding the Third Proportional to 355,874 and 773,700

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Solution

The third proportional to 355,874 and 773,700 is: 1,682,088.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,874 : 773,700 = 773,700 : x
  2. Step 2: Convert to fraction form
    355,874/773,700 = 773,700/x
  3. Step 3: Cross multiply
    355,874x = 773,700 × 773,700
  4. Step 4: Simplify right side
    355,874x = 598,611,690,000
  5. Step 5: Solve for x
    x = 598,611,690,000/355,874
  6. Step 6: Final answer
    x = 1,682,088.86

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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.