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Finding the Third Proportional to 324,915.19 and 724,538.53

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Solution

The third proportional to 324,915.19 and 724,538.53 is: 1,615,671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,915.19 : 724,538.53 = 724,538.53 : x
  2. Step 2: Convert to fraction form
    324,915.19/724,538.53 = 724,538.53/x
  3. Step 3: Cross multiply
    324,915.19x = 724,538.53 × 724,538.53
  4. Step 4: Simplify right side
    324,915.19x = 524,956,083,265.91
  5. Step 5: Solve for x
    x = 524,956,083,265.91/324,915.19
  6. Step 6: Final answer
    x = 1,615,671.11

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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.