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Finding the Third Proportional to 254,544 and 575,096

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Solution

The third proportional to 254,544 and 575,096 is: 1,299,325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,544 : 575,096 = 575,096 : x
  2. Step 2: Convert to fraction form
    254,544/575,096 = 575,096/x
  3. Step 3: Cross multiply
    254,544x = 575,096 × 575,096
  4. Step 4: Simplify right side
    254,544x = 330,735,409,216
  5. Step 5: Solve for x
    x = 330,735,409,216/254,544
  6. Step 6: Final answer
    x = 1,299,325.10

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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.