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Finding the Third Proportional to 228,425 and 526,458

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Solution

The third proportional to 228,425 and 526,458 is: 1,213,343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,425 : 526,458 = 526,458 : x
  2. Step 2: Convert to fraction form
    228,425/526,458 = 526,458/x
  3. Step 3: Cross multiply
    228,425x = 526,458 × 526,458
  4. Step 4: Simplify right side
    228,425x = 277,158,025,764
  5. Step 5: Solve for x
    x = 277,158,025,764/228,425
  6. Step 6: Final answer
    x = 1,213,343.66

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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.