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Finding the Third Proportional to 377,814 and 798,271

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Solution

The third proportional to 377,814 and 798,271 is: 1,686,641.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,814 : 798,271 = 798,271 : x
  2. Step 2: Convert to fraction form
    377,814/798,271 = 798,271/x
  3. Step 3: Cross multiply
    377,814x = 798,271 × 798,271
  4. Step 4: Simplify right side
    377,814x = 637,236,589,441
  5. Step 5: Solve for x
    x = 637,236,589,441/377,814
  6. Step 6: Final answer
    x = 1,686,641.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.