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Finding the Third Proportional to 226,368 and 492,099

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Solution

The third proportional to 226,368 and 492,099 is: 1,069,768.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,368 : 492,099 = 492,099 : x
  2. Step 2: Convert to fraction form
    226,368/492,099 = 492,099/x
  3. Step 3: Cross multiply
    226,368x = 492,099 × 492,099
  4. Step 4: Simplify right side
    226,368x = 242,161,425,801
  5. Step 5: Solve for x
    x = 242,161,425,801/226,368
  6. Step 6: Final answer
    x = 1,069,768.81

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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.