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Finding the Third Proportional to 251,211 and 546,054

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Solution

The third proportional to 251,211 and 546,054 is: 1,186,950.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,211 : 546,054 = 546,054 : x
  2. Step 2: Convert to fraction form
    251,211/546,054 = 546,054/x
  3. Step 3: Cross multiply
    251,211x = 546,054 × 546,054
  4. Step 4: Simplify right side
    251,211x = 298,174,970,916
  5. Step 5: Solve for x
    x = 298,174,970,916/251,211
  6. Step 6: Final answer
    x = 1,186,950.30

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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.