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Finding the Third Proportional to 264,174 and 401,307

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Solution

The third proportional to 264,174 and 401,307 is: 609,625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,174 : 401,307 = 401,307 : x
  2. Step 2: Convert to fraction form
    264,174/401,307 = 401,307/x
  3. Step 3: Cross multiply
    264,174x = 401,307 × 401,307
  4. Step 4: Simplify right side
    264,174x = 161,047,308,249
  5. Step 5: Solve for x
    x = 161,047,308,249/264,174
  6. Step 6: Final answer
    x = 609,625.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.