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Finding the Third Proportional to 360,859.50 and 504,499.50

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Solution

The third proportional to 360,859.50 and 504,499.50 is: 705,315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,859.50 : 504,499.50 = 504,499.50 : x
  2. Step 2: Convert to fraction form
    360,859.50/504,499.50 = 504,499.50/x
  3. Step 3: Cross multiply
    360,859.50x = 504,499.50 × 504,499.50
  4. Step 4: Simplify right side
    360,859.50x = 254,519,745,500.25
  5. Step 5: Solve for x
    x = 254,519,745,500.25/360,859.50
  6. Step 6: Final answer
    x = 705,315.35

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.