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Finding the Third Proportional to 264,286 and 550,460

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Solution

The third proportional to 264,286 and 550,460 is: 1,146,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,286 : 550,460 = 550,460 : x
  2. Step 2: Convert to fraction form
    264,286/550,460 = 550,460/x
  3. Step 3: Cross multiply
    264,286x = 550,460 × 550,460
  4. Step 4: Simplify right side
    264,286x = 303,006,211,600
  5. Step 5: Solve for x
    x = 303,006,211,600/264,286
  6. Step 6: Final answer
    x = 1,146,508.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.