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Finding the Third Proportional to 251,424 and 549,504

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Solution

The third proportional to 251,424 and 549,504 is: 1,200,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,424 : 549,504 = 549,504 : x
  2. Step 2: Convert to fraction form
    251,424/549,504 = 549,504/x
  3. Step 3: Cross multiply
    251,424x = 549,504 × 549,504
  4. Step 4: Simplify right side
    251,424x = 301,954,646,016
  5. Step 5: Solve for x
    x = 301,954,646,016/251,424
  6. Step 6: Final answer
    x = 1,200,977.81

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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.