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Finding the Third Proportional to 399,607.59 and 856,213.88

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Solution

The third proportional to 399,607.59 and 856,213.88 is: 1,834,555.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,607.59 : 856,213.88 = 856,213.88 : x
  2. Step 2: Convert to fraction form
    399,607.59/856,213.88 = 856,213.88/x
  3. Step 3: Cross multiply
    399,607.59x = 856,213.88 × 856,213.88
  4. Step 4: Simplify right side
    399,607.59x = 733,102,199,742.52
  5. Step 5: Solve for x
    x = 733,102,199,742.52/399,607.59
  6. Step 6: Final answer
    x = 1,834,555.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.