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Finding the Third Proportional to 199,576 and 430,802

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Solution

The third proportional to 199,576 and 430,802 is: 929,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,576 : 430,802 = 430,802 : x
  2. Step 2: Convert to fraction form
    199,576/430,802 = 430,802/x
  3. Step 3: Cross multiply
    199,576x = 430,802 × 430,802
  4. Step 4: Simplify right side
    199,576x = 185,590,363,204
  5. Step 5: Solve for x
    x = 185,590,363,204/199,576
  6. Step 6: Final answer
    x = 929,923.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.