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Finding the Third Proportional to 377,823.38 and 798,288.75

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Solution

The third proportional to 377,823.38 and 798,288.75 is: 1,686,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,823.38 : 798,288.75 = 798,288.75 : x
  2. Step 2: Convert to fraction form
    377,823.38/798,288.75 = 798,288.75/x
  3. Step 3: Cross multiply
    377,823.38x = 798,288.75 × 798,288.75
  4. Step 4: Simplify right side
    377,823.38x = 637,264,928,376.56
  5. Step 5: Solve for x
    x = 637,264,928,376.56/377,823.38
  6. Step 6: Final answer
    x = 1,686,674.17

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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.