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Finding the Third Proportional to 383,433.75 and 830,346.19

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Solution

The third proportional to 383,433.75 and 830,346.19 is: 1,798,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,433.75 : 830,346.19 = 830,346.19 : x
  2. Step 2: Convert to fraction form
    383,433.75/830,346.19 = 830,346.19/x
  3. Step 3: Cross multiply
    383,433.75x = 830,346.19 × 830,346.19
  4. Step 4: Simplify right side
    383,433.75x = 689,474,791,095.79
  5. Step 5: Solve for x
    x = 689,474,791,095.79/383,433.75
  6. Step 6: Final answer
    x = 1,798,158.85

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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.