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Finding the Third Proportional to 223,575 and 479,142

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Solution

The third proportional to 223,575 and 479,142 is: 1,026,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,575 : 479,142 = 479,142 : x
  2. Step 2: Convert to fraction form
    223,575/479,142 = 479,142/x
  3. Step 3: Cross multiply
    223,575x = 479,142 × 479,142
  4. Step 4: Simplify right side
    223,575x = 229,577,056,164
  5. Step 5: Solve for x
    x = 229,577,056,164/223,575
  6. Step 6: Final answer
    x = 1,026,845.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.