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Finding the Third Proportional to 377,497 and 798,717

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Solution

The third proportional to 377,497 and 798,717 is: 1,689,944.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,497 : 798,717 = 798,717 : x
  2. Step 2: Convert to fraction form
    377,497/798,717 = 798,717/x
  3. Step 3: Cross multiply
    377,497x = 798,717 × 798,717
  4. Step 4: Simplify right side
    377,497x = 637,948,846,089
  5. Step 5: Solve for x
    x = 637,948,846,089/377,497
  6. Step 6: Final answer
    x = 1,689,944.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.