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Finding the Third Proportional to 323,732 and 490,113

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Solution

The third proportional to 323,732 and 490,113 is: 742,004.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,732 : 490,113 = 490,113 : x
  2. Step 2: Convert to fraction form
    323,732/490,113 = 490,113/x
  3. Step 3: Cross multiply
    323,732x = 490,113 × 490,113
  4. Step 4: Simplify right side
    323,732x = 240,210,752,769
  5. Step 5: Solve for x
    x = 240,210,752,769/323,732
  6. Step 6: Final answer
    x = 742,004.97

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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.