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Finding the Third Proportional to 254,661.75 and 387,525.38

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Solution

The third proportional to 254,661.75 and 387,525.38 is: 589,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,661.75 : 387,525.38 = 387,525.38 : x
  2. Step 2: Convert to fraction form
    254,661.75/387,525.38 = 387,525.38/x
  3. Step 3: Cross multiply
    254,661.75x = 387,525.38 × 387,525.38
  4. Step 4: Simplify right side
    254,661.75x = 150,175,916,268.89
  5. Step 5: Solve for x
    x = 150,175,916,268.89/254,661.75
  6. Step 6: Final answer
    x = 589,707.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.