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Finding the Third Proportional to 435,145.50 and 633,782

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Solution

The third proportional to 435,145.50 and 633,782 is: 923,092.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,145.50 : 633,782 = 633,782 : x
  2. Step 2: Convert to fraction form
    435,145.50/633,782 = 633,782/x
  3. Step 3: Cross multiply
    435,145.50x = 633,782 × 633,782
  4. Step 4: Simplify right side
    435,145.50x = 401,679,623,524
  5. Step 5: Solve for x
    x = 401,679,623,524/435,145.50
  6. Step 6: Final answer
    x = 923,092.67

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.