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Finding the Third Proportional to 377,811.84 and 798,266.81

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Solution

The third proportional to 377,811.84 and 798,266.81 is: 1,686,632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,811.84 : 798,266.81 = 798,266.81 : x
  2. Step 2: Convert to fraction form
    377,811.84/798,266.81 = 798,266.81/x
  3. Step 3: Cross multiply
    377,811.84x = 798,266.81 × 798,266.81
  4. Step 4: Simplify right side
    377,811.84x = 637,229,903,938.91
  5. Step 5: Solve for x
    x = 637,229,903,938.91/377,811.84
  6. Step 6: Final answer
    x = 1,686,632.95

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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.