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Finding the Third Proportional to 252,828 and 546,145.50

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Solution

The third proportional to 252,828 and 546,145.50 is: 1,179,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,828 : 546,145.50 = 546,145.50 : x
  2. Step 2: Convert to fraction form
    252,828/546,145.50 = 546,145.50/x
  3. Step 3: Cross multiply
    252,828x = 546,145.50 × 546,145.50
  4. Step 4: Simplify right side
    252,828x = 298,274,907,170.25
  5. Step 5: Solve for x
    x = 298,274,907,170.25/252,828
  6. Step 6: Final answer
    x = 1,179,754.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.