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Finding the Third Proportional to 226,090 and 491,060

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Solution

The third proportional to 226,090 and 491,060 is: 1,066,566.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,090 : 491,060 = 491,060 : x
  2. Step 2: Convert to fraction form
    226,090/491,060 = 491,060/x
  3. Step 3: Cross multiply
    226,090x = 491,060 × 491,060
  4. Step 4: Simplify right side
    226,090x = 241,139,923,600
  5. Step 5: Solve for x
    x = 241,139,923,600/226,090
  6. Step 6: Final answer
    x = 1,066,566.07

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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.