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Finding the Third Proportional to 377,862 and 798,378

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Solution

The third proportional to 377,862 and 798,378 is: 1,686,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,862 : 798,378 = 798,378 : x
  2. Step 2: Convert to fraction form
    377,862/798,378 = 798,378/x
  3. Step 3: Cross multiply
    377,862x = 798,378 × 798,378
  4. Step 4: Simplify right side
    377,862x = 637,407,430,884
  5. Step 5: Solve for x
    x = 637,407,430,884/377,862
  6. Step 6: Final answer
    x = 1,686,878.89

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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.