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Finding the Third Proportional to 257,148 and 526,824

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Solution

The third proportional to 257,148 and 526,824 is: 1,079,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,148 : 526,824 = 526,824 : x
  2. Step 2: Convert to fraction form
    257,148/526,824 = 526,824/x
  3. Step 3: Cross multiply
    257,148x = 526,824 × 526,824
  4. Step 4: Simplify right side
    257,148x = 277,543,526,976
  5. Step 5: Solve for x
    x = 277,543,526,976/257,148
  6. Step 6: Final answer
    x = 1,079,314.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.