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Finding the Third Proportional to 248,950 and 546,276

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Solution

The third proportional to 248,950 and 546,276 is: 1,198,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,950 : 546,276 = 546,276 : x
  2. Step 2: Convert to fraction form
    248,950/546,276 = 546,276/x
  3. Step 3: Cross multiply
    248,950x = 546,276 × 546,276
  4. Step 4: Simplify right side
    248,950x = 298,417,468,176
  5. Step 5: Solve for x
    x = 298,417,468,176/248,950
  6. Step 6: Final answer
    x = 1,198,704.43

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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.