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Finding the Third Proportional to 226,324 and 491,572

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Solution

The third proportional to 226,324 and 491,572 is: 1,067,686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,324 : 491,572 = 491,572 : x
  2. Step 2: Convert to fraction form
    226,324/491,572 = 491,572/x
  3. Step 3: Cross multiply
    226,324x = 491,572 × 491,572
  4. Step 4: Simplify right side
    226,324x = 241,643,031,184
  5. Step 5: Solve for x
    x = 241,643,031,184/226,324
  6. Step 6: Final answer
    x = 1,067,686.29

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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.