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Finding the Third Proportional to 408,682.50 and 890,931.50

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Solution

The third proportional to 408,682.50 and 890,931.50 is: 1,942,238.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,682.50 : 890,931.50 = 890,931.50 : x
  2. Step 2: Convert to fraction form
    408,682.50/890,931.50 = 890,931.50/x
  3. Step 3: Cross multiply
    408,682.50x = 890,931.50 × 890,931.50
  4. Step 4: Simplify right side
    408,682.50x = 793,758,937,692.25
  5. Step 5: Solve for x
    x = 793,758,937,692.25/408,682.50
  6. Step 6: Final answer
    x = 1,942,238.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.