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Finding the Third Proportional to 257,094 and 526,716

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Solution

The third proportional to 257,094 and 526,716 is: 1,079,098.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,094 : 526,716 = 526,716 : x
  2. Step 2: Convert to fraction form
    257,094/526,716 = 526,716/x
  3. Step 3: Cross multiply
    257,094x = 526,716 × 526,716
  4. Step 4: Simplify right side
    257,094x = 277,429,744,656
  5. Step 5: Solve for x
    x = 277,429,744,656/257,094
  6. Step 6: Final answer
    x = 1,079,098.48

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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.