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Finding the Third Proportional to 245,361 and 526,191

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Solution

The third proportional to 245,361 and 526,191 is: 1,128,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,361 : 526,191 = 526,191 : x
  2. Step 2: Convert to fraction form
    245,361/526,191 = 526,191/x
  3. Step 3: Cross multiply
    245,361x = 526,191 × 526,191
  4. Step 4: Simplify right side
    245,361x = 276,876,968,481
  5. Step 5: Solve for x
    x = 276,876,968,481/245,361
  6. Step 6: Final answer
    x = 1,128,447.34

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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.