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Finding the Third Proportional to 254,540 and 575,086

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Solution

The third proportional to 254,540 and 575,086 is: 1,299,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,540 : 575,086 = 575,086 : x
  2. Step 2: Convert to fraction form
    254,540/575,086 = 575,086/x
  3. Step 3: Cross multiply
    254,540x = 575,086 × 575,086
  4. Step 4: Simplify right side
    254,540x = 330,723,907,396
  5. Step 5: Solve for x
    x = 330,723,907,396/254,540
  6. Step 6: Final answer
    x = 1,299,300.34

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.