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Finding the Third Proportional to 248,956 and 546,288

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Solution

The third proportional to 248,956 and 546,288 is: 1,198,728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,956 : 546,288 = 546,288 : x
  2. Step 2: Convert to fraction form
    248,956/546,288 = 546,288/x
  3. Step 3: Cross multiply
    248,956x = 546,288 × 546,288
  4. Step 4: Simplify right side
    248,956x = 298,430,578,944
  5. Step 5: Solve for x
    x = 298,430,578,944/248,956
  6. Step 6: Final answer
    x = 1,198,728.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.