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Finding the Third Proportional to 430,450 and 1,000,285

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Solution

The third proportional to 430,450 and 1,000,285 is: 2,324,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,450 : 1,000,285 = 1,000,285 : x
  2. Step 2: Convert to fraction form
    430,450/1,000,285 = 1,000,285/x
  3. Step 3: Cross multiply
    430,450x = 1,000,285 × 1,000,285
  4. Step 4: Simplify right side
    430,450x = 1,000,570,081,225
  5. Step 5: Solve for x
    x = 1,000,570,081,225/430,450
  6. Step 6: Final answer
    x = 2,324,474.58

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.