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Finding the Third Proportional to 254,909 and 560,146

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Solution

The third proportional to 254,909 and 560,146 is: 1,230,884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,909 : 560,146 = 560,146 : x
  2. Step 2: Convert to fraction form
    254,909/560,146 = 560,146/x
  3. Step 3: Cross multiply
    254,909x = 560,146 × 560,146
  4. Step 4: Simplify right side
    254,909x = 313,763,541,316
  5. Step 5: Solve for x
    x = 313,763,541,316/254,909
  6. Step 6: Final answer
    x = 1,230,884.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.