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Finding the Third Proportional to 377,839.69 and 821,395.69

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Solution

The third proportional to 377,839.69 and 821,395.69 is: 1,785,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,839.69 : 821,395.69 = 821,395.69 : x
  2. Step 2: Convert to fraction form
    377,839.69/821,395.69 = 821,395.69/x
  3. Step 3: Cross multiply
    377,839.69x = 821,395.69 × 821,395.69
  4. Step 4: Simplify right side
    377,839.69x = 674,690,875,443.60
  5. Step 5: Solve for x
    x = 674,690,875,443.60/377,839.69
  6. Step 6: Final answer
    x = 1,785,653.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.