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Finding the Third Proportional to 380,950.50 and 836,664

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Solution

The third proportional to 380,950.50 and 836,664 is: 1,837,526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,950.50 : 836,664 = 836,664 : x
  2. Step 2: Convert to fraction form
    380,950.50/836,664 = 836,664/x
  3. Step 3: Cross multiply
    380,950.50x = 836,664 × 836,664
  4. Step 4: Simplify right side
    380,950.50x = 700,006,648,896
  5. Step 5: Solve for x
    x = 700,006,648,896/380,950.50
  6. Step 6: Final answer
    x = 1,837,526.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.