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Finding the Third Proportional to 325,507.50 and 503,964

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Solution

The third proportional to 325,507.50 and 503,964 is: 780,257.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,507.50 : 503,964 = 503,964 : x
  2. Step 2: Convert to fraction form
    325,507.50/503,964 = 503,964/x
  3. Step 3: Cross multiply
    325,507.50x = 503,964 × 503,964
  4. Step 4: Simplify right side
    325,507.50x = 253,979,713,296
  5. Step 5: Solve for x
    x = 253,979,713,296/325,507.50
  6. Step 6: Final answer
    x = 780,257.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.