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Finding the Third Proportional to 323,758 and 490,152

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Solution

The third proportional to 323,758 and 490,152 is: 742,063.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,758 : 490,152 = 490,152 : x
  2. Step 2: Convert to fraction form
    323,758/490,152 = 490,152/x
  3. Step 3: Cross multiply
    323,758x = 490,152 × 490,152
  4. Step 4: Simplify right side
    323,758x = 240,248,983,104
  5. Step 5: Solve for x
    x = 240,248,983,104/323,758
  6. Step 6: Final answer
    x = 742,063.46

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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.