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Finding the Third Proportional to 226,791 and 492,222

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Solution

The third proportional to 226,791 and 492,222 is: 1,068,307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,791 : 492,222 = 492,222 : x
  2. Step 2: Convert to fraction form
    226,791/492,222 = 492,222/x
  3. Step 3: Cross multiply
    226,791x = 492,222 × 492,222
  4. Step 4: Simplify right side
    226,791x = 242,282,497,284
  5. Step 5: Solve for x
    x = 242,282,497,284/226,791
  6. Step 6: Final answer
    x = 1,068,307.37

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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.