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Finding the Third Proportional to 250,532 and 549,328

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Solution

The third proportional to 250,532 and 549,328 is: 1,204,481.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,532 : 549,328 = 549,328 : x
  2. Step 2: Convert to fraction form
    250,532/549,328 = 549,328/x
  3. Step 3: Cross multiply
    250,532x = 549,328 × 549,328
  4. Step 4: Simplify right side
    250,532x = 301,761,251,584
  5. Step 5: Solve for x
    x = 301,761,251,584/250,532
  6. Step 6: Final answer
    x = 1,204,481.87

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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.