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Finding the Third Proportional to 228,450 and 526,521

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Solution

The third proportional to 228,450 and 526,521 is: 1,213,501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,450 : 526,521 = 526,521 : x
  2. Step 2: Convert to fraction form
    228,450/526,521 = 526,521/x
  3. Step 3: Cross multiply
    228,450x = 526,521 × 526,521
  4. Step 4: Simplify right side
    228,450x = 277,224,363,441
  5. Step 5: Solve for x
    x = 277,224,363,441/228,450
  6. Step 6: Final answer
    x = 1,213,501.26

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.