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Finding the Third Proportional to 377,022 and 780,285

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Solution

The third proportional to 377,022 and 780,285 is: 1,614,878.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,022 : 780,285 = 780,285 : x
  2. Step 2: Convert to fraction form
    377,022/780,285 = 780,285/x
  3. Step 3: Cross multiply
    377,022x = 780,285 × 780,285
  4. Step 4: Simplify right side
    377,022x = 608,844,681,225
  5. Step 5: Solve for x
    x = 608,844,681,225/377,022
  6. Step 6: Final answer
    x = 1,614,878.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.