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Finding the Third Proportional to 324,083 and 490,602

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Solution

The third proportional to 324,083 and 490,602 is: 742,681.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,083 : 490,602 = 490,602 : x
  2. Step 2: Convert to fraction form
    324,083/490,602 = 490,602/x
  3. Step 3: Cross multiply
    324,083x = 490,602 × 490,602
  4. Step 4: Simplify right side
    324,083x = 240,690,322,404
  5. Step 5: Solve for x
    x = 240,690,322,404/324,083
  6. Step 6: Final answer
    x = 742,681.11

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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.