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Finding the Third Proportional to 257,098 and 526,724

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Solution

The third proportional to 257,098 and 526,724 is: 1,079,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,098 : 526,724 = 526,724 : x
  2. Step 2: Convert to fraction form
    257,098/526,724 = 526,724/x
  3. Step 3: Cross multiply
    257,098x = 526,724 × 526,724
  4. Step 4: Simplify right side
    257,098x = 277,438,172,176
  5. Step 5: Solve for x
    x = 277,438,172,176/257,098
  6. Step 6: Final answer
    x = 1,079,114.47

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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.