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Finding the Third Proportional to 252,888 and 544,980

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Solution

The third proportional to 252,888 and 544,980 is: 1,174,445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,888 : 544,980 = 544,980 : x
  2. Step 2: Convert to fraction form
    252,888/544,980 = 544,980/x
  3. Step 3: Cross multiply
    252,888x = 544,980 × 544,980
  4. Step 4: Simplify right side
    252,888x = 297,003,200,400
  5. Step 5: Solve for x
    x = 297,003,200,400/252,888
  6. Step 6: Final answer
    x = 1,174,445.61

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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.