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Finding the Third Proportional to 223,266 and 526,944

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Solution

The third proportional to 223,266 and 526,944 is: 1,243,673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,266 : 526,944 = 526,944 : x
  2. Step 2: Convert to fraction form
    223,266/526,944 = 526,944/x
  3. Step 3: Cross multiply
    223,266x = 526,944 × 526,944
  4. Step 4: Simplify right side
    223,266x = 277,669,979,136
  5. Step 5: Solve for x
    x = 277,669,979,136/223,266
  6. Step 6: Final answer
    x = 1,243,673.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.