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Finding the Third Proportional to 329,810.50 and 505,378.50

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Solution

The third proportional to 329,810.50 and 505,378.50 is: 774,406.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,810.50 : 505,378.50 = 505,378.50 : x
  2. Step 2: Convert to fraction form
    329,810.50/505,378.50 = 505,378.50/x
  3. Step 3: Cross multiply
    329,810.50x = 505,378.50 × 505,378.50
  4. Step 4: Simplify right side
    329,810.50x = 255,407,428,262.25
  5. Step 5: Solve for x
    x = 255,407,428,262.25/329,810.50
  6. Step 6: Final answer
    x = 774,406.60

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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.