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Finding the Third Proportional to 226,416 and 511,224

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Solution

The third proportional to 226,416 and 511,224 is: 1,154,291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,416 : 511,224 = 511,224 : x
  2. Step 2: Convert to fraction form
    226,416/511,224 = 511,224/x
  3. Step 3: Cross multiply
    226,416x = 511,224 × 511,224
  4. Step 4: Simplify right side
    226,416x = 261,349,978,176
  5. Step 5: Solve for x
    x = 261,349,978,176/226,416
  6. Step 6: Final answer
    x = 1,154,291.12

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.