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Finding the Third Proportional to 323,674.88 and 490,010.63

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Solution

The third proportional to 323,674.88 and 490,010.63 is: 741,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,674.88 : 490,010.63 = 490,010.63 : x
  2. Step 2: Convert to fraction form
    323,674.88/490,010.63 = 490,010.63/x
  3. Step 3: Cross multiply
    323,674.88x = 490,010.63 × 490,010.63
  4. Step 4: Simplify right side
    323,674.88x = 240,110,412,612.89
  5. Step 5: Solve for x
    x = 240,110,412,612.89/323,674.88
  6. Step 6: Final answer
    x = 741,825.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.