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Finding the Third Proportional to 255,538 and 546,104

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Solution

The third proportional to 255,538 and 546,104 is: 1,167,065.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,538 : 546,104 = 546,104 : x
  2. Step 2: Convert to fraction form
    255,538/546,104 = 546,104/x
  3. Step 3: Cross multiply
    255,538x = 546,104 × 546,104
  4. Step 4: Simplify right side
    255,538x = 298,229,578,816
  5. Step 5: Solve for x
    x = 298,229,578,816/255,538
  6. Step 6: Final answer
    x = 1,167,065.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.