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Finding the Third Proportional to 324,522 and 484,083

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Solution

The third proportional to 324,522 and 484,083 is: 722,096.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,522 : 484,083 = 484,083 : x
  2. Step 2: Convert to fraction form
    324,522/484,083 = 484,083/x
  3. Step 3: Cross multiply
    324,522x = 484,083 × 484,083
  4. Step 4: Simplify right side
    324,522x = 234,336,350,889
  5. Step 5: Solve for x
    x = 234,336,350,889/324,522
  6. Step 6: Final answer
    x = 722,096.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.