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Finding the Third Proportional to 324,513 and 484,069.50

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Solution

The third proportional to 324,513 and 484,069.50 is: 722,076.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,513 : 484,069.50 = 484,069.50 : x
  2. Step 2: Convert to fraction form
    324,513/484,069.50 = 484,069.50/x
  3. Step 3: Cross multiply
    324,513x = 484,069.50 × 484,069.50
  4. Step 4: Simplify right side
    324,513x = 234,323,280,830.25
  5. Step 5: Solve for x
    x = 234,323,280,830.25/324,513
  6. Step 6: Final answer
    x = 722,076.71

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