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Finding the Third Proportional to 281,961 and 431,871.75

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Solution

The third proportional to 281,961 and 431,871.75 is: 661,485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,961 : 431,871.75 = 431,871.75 : x
  2. Step 2: Convert to fraction form
    281,961/431,871.75 = 431,871.75/x
  3. Step 3: Cross multiply
    281,961x = 431,871.75 × 431,871.75
  4. Step 4: Simplify right side
    281,961x = 186,513,208,448.06
  5. Step 5: Solve for x
    x = 186,513,208,448.06/281,961
  6. Step 6: Final answer
    x = 661,485.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.