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Finding the Third Proportional to 255,028 and 549,080

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Solution

The third proportional to 255,028 and 549,080 is: 1,182,179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,028 : 549,080 = 549,080 : x
  2. Step 2: Convert to fraction form
    255,028/549,080 = 549,080/x
  3. Step 3: Cross multiply
    255,028x = 549,080 × 549,080
  4. Step 4: Simplify right side
    255,028x = 301,488,846,400
  5. Step 5: Solve for x
    x = 301,488,846,400/255,028
  6. Step 6: Final answer
    x = 1,182,179.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.