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Finding the Third Proportional to 399,607.88 and 856,214.38

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Solution

The third proportional to 399,607.88 and 856,214.38 is: 1,834,556.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,607.88 : 856,214.38 = 856,214.38 : x
  2. Step 2: Convert to fraction form
    399,607.88/856,214.38 = 856,214.38/x
  3. Step 3: Cross multiply
    399,607.88x = 856,214.38 × 856,214.38
  4. Step 4: Simplify right side
    399,607.88x = 733,103,055,956.64
  5. Step 5: Solve for x
    x = 733,103,055,956.64/399,607.88
  6. Step 6: Final answer
    x = 1,834,556.08

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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.