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Finding the Third Proportional to 226,746 and 492,858

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Solution

The third proportional to 226,746 and 492,858 is: 1,071,282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,746 : 492,858 = 492,858 : x
  2. Step 2: Convert to fraction form
    226,746/492,858 = 492,858/x
  3. Step 3: Cross multiply
    226,746x = 492,858 × 492,858
  4. Step 4: Simplify right side
    226,746x = 242,909,008,164
  5. Step 5: Solve for x
    x = 242,909,008,164/226,746
  6. Step 6: Final answer
    x = 1,071,282.44

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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.