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Finding the Third Proportional to 226,116 and 491,604

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Solution

The third proportional to 226,116 and 491,604 is: 1,068,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,116 : 491,604 = 491,604 : x
  2. Step 2: Convert to fraction form
    226,116/491,604 = 491,604/x
  3. Step 3: Cross multiply
    226,116x = 491,604 × 491,604
  4. Step 4: Simplify right side
    226,116x = 241,674,492,816
  5. Step 5: Solve for x
    x = 241,674,492,816/226,116
  6. Step 6: Final answer
    x = 1,068,807.57

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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.