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Finding the Third Proportional to 245,384 and 526,234

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Solution

The third proportional to 245,384 and 526,234 is: 1,128,525.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,384 : 526,234 = 526,234 : x
  2. Step 2: Convert to fraction form
    245,384/526,234 = 526,234/x
  3. Step 3: Cross multiply
    245,384x = 526,234 × 526,234
  4. Step 4: Simplify right side
    245,384x = 276,922,222,756
  5. Step 5: Solve for x
    x = 276,922,222,756/245,384
  6. Step 6: Final answer
    x = 1,128,525.99

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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.