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Finding the Third Proportional to 377,268 and 810,718

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Solution

The third proportional to 377,268 and 810,718 is: 1,742,166.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,268 : 810,718 = 810,718 : x
  2. Step 2: Convert to fraction form
    377,268/810,718 = 810,718/x
  3. Step 3: Cross multiply
    377,268x = 810,718 × 810,718
  4. Step 4: Simplify right side
    377,268x = 657,263,675,524
  5. Step 5: Solve for x
    x = 657,263,675,524/377,268
  6. Step 6: Final answer
    x = 1,742,166.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.