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Finding the Third Proportional to 257,122 and 526,772

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Solution

The third proportional to 257,122 and 526,772 is: 1,079,210.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,122 : 526,772 = 526,772 : x
  2. Step 2: Convert to fraction form
    257,122/526,772 = 526,772/x
  3. Step 3: Cross multiply
    257,122x = 526,772 × 526,772
  4. Step 4: Simplify right side
    257,122x = 277,488,739,984
  5. Step 5: Solve for x
    x = 277,488,739,984/257,122
  6. Step 6: Final answer
    x = 1,079,210.41

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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.