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Finding the Third Proportional to 250,080 and 526,296

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Solution

The third proportional to 250,080 and 526,296 is: 1,107,595.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,080 : 526,296 = 526,296 : x
  2. Step 2: Convert to fraction form
    250,080/526,296 = 526,296/x
  3. Step 3: Cross multiply
    250,080x = 526,296 × 526,296
  4. Step 4: Simplify right side
    250,080x = 276,987,479,616
  5. Step 5: Solve for x
    x = 276,987,479,616/250,080
  6. Step 6: Final answer
    x = 1,107,595.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.