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Finding the Third Proportional to 305,241 and 663,010

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Solution

The third proportional to 305,241 and 663,010 is: 1,440,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,241 : 663,010 = 663,010 : x
  2. Step 2: Convert to fraction form
    305,241/663,010 = 663,010/x
  3. Step 3: Cross multiply
    305,241x = 663,010 × 663,010
  4. Step 4: Simplify right side
    305,241x = 439,582,260,100
  5. Step 5: Solve for x
    x = 439,582,260,100/305,241
  6. Step 6: Final answer
    x = 1,440,115.38

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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.