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Finding the Third Proportional to 306,049.50 and 459,075.75

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Solution

The third proportional to 306,049.50 and 459,075.75 is: 688,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,049.50 : 459,075.75 = 459,075.75 : x
  2. Step 2: Convert to fraction form
    306,049.50/459,075.75 = 459,075.75/x
  3. Step 3: Cross multiply
    306,049.50x = 459,075.75 × 459,075.75
  4. Step 4: Simplify right side
    306,049.50x = 210,750,544,238.06
  5. Step 5: Solve for x
    x = 210,750,544,238.06/306,049.50
  6. Step 6: Final answer
    x = 688,615.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.