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Finding the Third Proportional to 353,796.75 and 747,526.50

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Solution

The third proportional to 353,796.75 and 747,526.50 is: 1,579,426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,796.75 : 747,526.50 = 747,526.50 : x
  2. Step 2: Convert to fraction form
    353,796.75/747,526.50 = 747,526.50/x
  3. Step 3: Cross multiply
    353,796.75x = 747,526.50 × 747,526.50
  4. Step 4: Simplify right side
    353,796.75x = 558,795,868,202.25
  5. Step 5: Solve for x
    x = 558,795,868,202.25/353,796.75
  6. Step 6: Final answer
    x = 1,579,426.23

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.