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Finding the Third Proportional to 295,676 and 463,203

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Solution

The third proportional to 295,676 and 463,203 is: 725,649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,676 : 463,203 = 463,203 : x
  2. Step 2: Convert to fraction form
    295,676/463,203 = 463,203/x
  3. Step 3: Cross multiply
    295,676x = 463,203 × 463,203
  4. Step 4: Simplify right side
    295,676x = 214,557,019,209
  5. Step 5: Solve for x
    x = 214,557,019,209/295,676
  6. Step 6: Final answer
    x = 725,649.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.