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Finding the Third Proportional to 255,040 and 549,104

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Solution

The third proportional to 255,040 and 549,104 is: 1,182,227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,040 : 549,104 = 549,104 : x
  2. Step 2: Convert to fraction form
    255,040/549,104 = 549,104/x
  3. Step 3: Cross multiply
    255,040x = 549,104 × 549,104
  4. Step 4: Simplify right side
    255,040x = 301,515,202,816
  5. Step 5: Solve for x
    x = 301,515,202,816/255,040
  6. Step 6: Final answer
    x = 1,182,227.11

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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.