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Finding the Third Proportional to 250,530 and 549,324

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Solution

The third proportional to 250,530 and 549,324 is: 1,204,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,530 : 549,324 = 549,324 : x
  2. Step 2: Convert to fraction form
    250,530/549,324 = 549,324/x
  3. Step 3: Cross multiply
    250,530x = 549,324 × 549,324
  4. Step 4: Simplify right side
    250,530x = 301,756,856,976
  5. Step 5: Solve for x
    x = 301,756,856,976/250,530
  6. Step 6: Final answer
    x = 1,204,473.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.