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Finding the Third Proportional to 251,286 and 546,894

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Solution

The third proportional to 251,286 and 546,894 is: 1,190,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,286 : 546,894 = 546,894 : x
  2. Step 2: Convert to fraction form
    251,286/546,894 = 546,894/x
  3. Step 3: Cross multiply
    251,286x = 546,894 × 546,894
  4. Step 4: Simplify right side
    251,286x = 299,093,047,236
  5. Step 5: Solve for x
    x = 299,093,047,236/251,286
  6. Step 6: Final answer
    x = 1,190,249.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.