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Finding the Third Proportional to 365,796 and 555,174

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Solution

The third proportional to 365,796 and 555,174 is: 842,595.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,796 : 555,174 = 555,174 : x
  2. Step 2: Convert to fraction form
    365,796/555,174 = 555,174/x
  3. Step 3: Cross multiply
    365,796x = 555,174 × 555,174
  4. Step 4: Simplify right side
    365,796x = 308,218,170,276
  5. Step 5: Solve for x
    x = 308,218,170,276/365,796
  6. Step 6: Final answer
    x = 842,595.79

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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.