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Finding the Third Proportional to 325,978.59 and 498,653.72

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Solution

The third proportional to 325,978.59 and 498,653.72 is: 762,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,978.59 : 498,653.72 = 498,653.72 : x
  2. Step 2: Convert to fraction form
    325,978.59/498,653.72 = 498,653.72/x
  3. Step 3: Cross multiply
    325,978.59x = 498,653.72 × 498,653.72
  4. Step 4: Simplify right side
    325,978.59x = 248,655,531,223.20
  5. Step 5: Solve for x
    x = 248,655,531,223.20/325,978.59
  6. Step 6: Final answer
    x = 762,797.12

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.