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Finding the Third Proportional to 324,146 and 490,695

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Solution

The third proportional to 324,146 and 490,695 is: 742,818.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,146 : 490,695 = 490,695 : x
  2. Step 2: Convert to fraction form
    324,146/490,695 = 490,695/x
  3. Step 3: Cross multiply
    324,146x = 490,695 × 490,695
  4. Step 4: Simplify right side
    324,146x = 240,781,583,025
  5. Step 5: Solve for x
    x = 240,781,583,025/324,146
  6. Step 6: Final answer
    x = 742,818.31

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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.