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Finding the Third Proportional to 226,371 and 492,054

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Solution

The third proportional to 226,371 and 492,054 is: 1,069,558.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,371 : 492,054 = 492,054 : x
  2. Step 2: Convert to fraction form
    226,371/492,054 = 492,054/x
  3. Step 3: Cross multiply
    226,371x = 492,054 × 492,054
  4. Step 4: Simplify right side
    226,371x = 242,117,138,916
  5. Step 5: Solve for x
    x = 242,117,138,916/226,371
  6. Step 6: Final answer
    x = 1,069,558.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.