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Finding the Third Proportional to 297,828 and 649,206

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Solution

The third proportional to 297,828 and 649,206 is: 1,415,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,828 : 649,206 = 649,206 : x
  2. Step 2: Convert to fraction form
    297,828/649,206 = 649,206/x
  3. Step 3: Cross multiply
    297,828x = 649,206 × 649,206
  4. Step 4: Simplify right side
    297,828x = 421,468,430,436
  5. Step 5: Solve for x
    x = 421,468,430,436/297,828
  6. Step 6: Final answer
    x = 1,415,140.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.