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Finding the Third Proportional to 324,916.31 and 724,539.94

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Solution

The third proportional to 324,916.31 and 724,539.94 is: 1,615,671.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,916.31 : 724,539.94 = 724,539.94 : x
  2. Step 2: Convert to fraction form
    324,916.31/724,539.94 = 724,539.94/x
  3. Step 3: Cross multiply
    324,916.31x = 724,539.94 × 724,539.94
  4. Step 4: Simplify right side
    324,916.31x = 524,958,121,032.50
  5. Step 5: Solve for x
    x = 524,958,121,032.50/324,916.31
  6. Step 6: Final answer
    x = 1,615,671.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.