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Finding the Third Proportional to 226,813 and 488,294

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Solution

The third proportional to 226,813 and 488,294 is: 1,051,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,813 : 488,294 = 488,294 : x
  2. Step 2: Convert to fraction form
    226,813/488,294 = 488,294/x
  3. Step 3: Cross multiply
    226,813x = 488,294 × 488,294
  4. Step 4: Simplify right side
    226,813x = 238,431,030,436
  5. Step 5: Solve for x
    x = 238,431,030,436/226,813
  6. Step 6: Final answer
    x = 1,051,222.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.