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Finding the Third Proportional to 430,110 and 930,204

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Solution

The third proportional to 430,110 and 930,204 is: 2,011,763.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,110 : 930,204 = 930,204 : x
  2. Step 2: Convert to fraction form
    430,110/930,204 = 930,204/x
  3. Step 3: Cross multiply
    430,110x = 930,204 × 930,204
  4. Step 4: Simplify right side
    430,110x = 865,279,481,616
  5. Step 5: Solve for x
    x = 865,279,481,616/430,110
  6. Step 6: Final answer
    x = 2,011,763.23

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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.