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Finding the Third Proportional to 226,100 and 491,076

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Solution

The third proportional to 226,100 and 491,076 is: 1,066,588.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,100 : 491,076 = 491,076 : x
  2. Step 2: Convert to fraction form
    226,100/491,076 = 491,076/x
  3. Step 3: Cross multiply
    226,100x = 491,076 × 491,076
  4. Step 4: Simplify right side
    226,100x = 241,155,637,776
  5. Step 5: Solve for x
    x = 241,155,637,776/226,100
  6. Step 6: Final answer
    x = 1,066,588.40

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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.