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Finding the Third Proportional to 228,449 and 526,518

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Solution

The third proportional to 228,449 and 526,518 is: 1,213,492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,449 : 526,518 = 526,518 : x
  2. Step 2: Convert to fraction form
    228,449/526,518 = 526,518/x
  3. Step 3: Cross multiply
    228,449x = 526,518 × 526,518
  4. Step 4: Simplify right side
    228,449x = 277,221,204,324
  5. Step 5: Solve for x
    x = 277,221,204,324/228,449
  6. Step 6: Final answer
    x = 1,213,492.75

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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.