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Finding the Third Proportional to 324,516 and 484,073.50

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Solution

The third proportional to 324,516 and 484,073.50 is: 722,081.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,516 : 484,073.50 = 484,073.50 : x
  2. Step 2: Convert to fraction form
    324,516/484,073.50 = 484,073.50/x
  3. Step 3: Cross multiply
    324,516x = 484,073.50 × 484,073.50
  4. Step 4: Simplify right side
    324,516x = 234,327,153,402.25
  5. Step 5: Solve for x
    x = 234,327,153,402.25/324,516
  6. Step 6: Final answer
    x = 722,081.97

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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.