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Finding the Third Proportional to 325,405 and 700,817.50

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Solution

The third proportional to 325,405 and 700,817.50 is: 1,509,335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,405 : 700,817.50 = 700,817.50 : x
  2. Step 2: Convert to fraction form
    325,405/700,817.50 = 700,817.50/x
  3. Step 3: Cross multiply
    325,405x = 700,817.50 × 700,817.50
  4. Step 4: Simplify right side
    325,405x = 491,145,168,306.25
  5. Step 5: Solve for x
    x = 491,145,168,306.25/325,405
  6. Step 6: Final answer
    x = 1,509,335.04

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.