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Finding the Third Proportional to 324,988.13 and 724,660.50

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Solution

The third proportional to 324,988.13 and 724,660.50 is: 1,615,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,988.13 : 724,660.50 = 724,660.50 : x
  2. Step 2: Convert to fraction form
    324,988.13/724,660.50 = 724,660.50/x
  3. Step 3: Cross multiply
    324,988.13x = 724,660.50 × 724,660.50
  4. Step 4: Simplify right side
    324,988.13x = 525,132,840,260.25
  5. Step 5: Solve for x
    x = 525,132,840,260.25/324,988.13
  6. Step 6: Final answer
    x = 1,615,852.40

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