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Finding the Third Proportional to 295,898 and 650,728

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Solution

The third proportional to 295,898 and 650,728 is: 1,431,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,898 : 650,728 = 650,728 : x
  2. Step 2: Convert to fraction form
    295,898/650,728 = 650,728/x
  3. Step 3: Cross multiply
    295,898x = 650,728 × 650,728
  4. Step 4: Simplify right side
    295,898x = 423,446,929,984
  5. Step 5: Solve for x
    x = 423,446,929,984/295,898
  6. Step 6: Final answer
    x = 1,431,057.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.