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Finding the Third Proportional to 306,050.63 and 465,846.75

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Solution

The third proportional to 306,050.63 and 465,846.75 is: 709,076.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,050.63 : 465,846.75 = 465,846.75 : x
  2. Step 2: Convert to fraction form
    306,050.63/465,846.75 = 465,846.75/x
  3. Step 3: Cross multiply
    306,050.63x = 465,846.75 × 465,846.75
  4. Step 4: Simplify right side
    306,050.63x = 217,013,194,485.56
  5. Step 5: Solve for x
    x = 217,013,194,485.56/306,050.63
  6. Step 6: Final answer
    x = 709,076.14

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.