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Finding the Third Proportional to 428,308 and 921,208

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Solution

The third proportional to 428,308 and 921,208 is: 1,981,340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,308 : 921,208 = 921,208 : x
  2. Step 2: Convert to fraction form
    428,308/921,208 = 921,208/x
  3. Step 3: Cross multiply
    428,308x = 921,208 × 921,208
  4. Step 4: Simplify right side
    428,308x = 848,624,179,264
  5. Step 5: Solve for x
    x = 848,624,179,264/428,308
  6. Step 6: Final answer
    x = 1,981,340.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.