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Finding the Third Proportional to 433,028 and 680,241

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Solution

The third proportional to 433,028 and 680,241 is: 1,068,586.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,028 : 680,241 = 680,241 : x
  2. Step 2: Convert to fraction form
    433,028/680,241 = 680,241/x
  3. Step 3: Cross multiply
    433,028x = 680,241 × 680,241
  4. Step 4: Simplify right side
    433,028x = 462,727,818,081
  5. Step 5: Solve for x
    x = 462,727,818,081/433,028
  6. Step 6: Final answer
    x = 1,068,586.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.