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Finding the Third Proportional to 302,846 and 655,844

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Solution

The third proportional to 302,846 and 655,844 is: 1,420,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,846 : 655,844 = 655,844 : x
  2. Step 2: Convert to fraction form
    302,846/655,844 = 655,844/x
  3. Step 3: Cross multiply
    302,846x = 655,844 × 655,844
  4. Step 4: Simplify right side
    302,846x = 430,131,352,336
  5. Step 5: Solve for x
    x = 430,131,352,336/302,846
  6. Step 6: Final answer
    x = 1,420,297.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.