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Finding the Third Proportional to 272,066 and 422,307

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Solution

The third proportional to 272,066 and 422,307 is: 655,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,066 : 422,307 = 422,307 : x
  2. Step 2: Convert to fraction form
    272,066/422,307 = 422,307/x
  3. Step 3: Cross multiply
    272,066x = 422,307 × 422,307
  4. Step 4: Simplify right side
    272,066x = 178,343,202,249
  5. Step 5: Solve for x
    x = 178,343,202,249/272,066
  6. Step 6: Final answer
    x = 655,514.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.