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Finding the Third Proportional to 398,923.50 and 853,885.50

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Solution

The third proportional to 398,923.50 and 853,885.50 is: 1,827,719.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,923.50 : 853,885.50 = 853,885.50 : x
  2. Step 2: Convert to fraction form
    398,923.50/853,885.50 = 853,885.50/x
  3. Step 3: Cross multiply
    398,923.50x = 853,885.50 × 853,885.50
  4. Step 4: Simplify right side
    398,923.50x = 729,120,447,110.25
  5. Step 5: Solve for x
    x = 729,120,447,110.25/398,923.50
  6. Step 6: Final answer
    x = 1,827,719.97

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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.