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Finding the Third Proportional to 260,066 and 556,996

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Solution

The third proportional to 260,066 and 556,996 is: 1,192,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,066 : 556,996 = 556,996 : x
  2. Step 2: Convert to fraction form
    260,066/556,996 = 556,996/x
  3. Step 3: Cross multiply
    260,066x = 556,996 × 556,996
  4. Step 4: Simplify right side
    260,066x = 310,244,544,016
  5. Step 5: Solve for x
    x = 310,244,544,016/260,066
  6. Step 6: Final answer
    x = 1,192,945.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.