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Finding the Third Proportional to 362,353.50 and 771,484.50

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Solution

The third proportional to 362,353.50 and 771,484.50 is: 1,642,562.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,353.50 : 771,484.50 = 771,484.50 : x
  2. Step 2: Convert to fraction form
    362,353.50/771,484.50 = 771,484.50/x
  3. Step 3: Cross multiply
    362,353.50x = 771,484.50 × 771,484.50
  4. Step 4: Simplify right side
    362,353.50x = 595,188,333,740.25
  5. Step 5: Solve for x
    x = 595,188,333,740.25/362,353.50
  6. Step 6: Final answer
    x = 1,642,562.67

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.