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Finding the Third Proportional to 254,130.75 and 552,534.75

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Solution

The third proportional to 254,130.75 and 552,534.75 is: 1,201,329.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,130.75 : 552,534.75 = 552,534.75 : x
  2. Step 2: Convert to fraction form
    254,130.75/552,534.75 = 552,534.75/x
  3. Step 3: Cross multiply
    254,130.75x = 552,534.75 × 552,534.75
  4. Step 4: Simplify right side
    254,130.75x = 305,294,649,957.56
  5. Step 5: Solve for x
    x = 305,294,649,957.56/254,130.75
  6. Step 6: Final answer
    x = 1,201,329.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.