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Finding the Third Proportional to 396,089.50 and 824,819

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Solution

The third proportional to 396,089.50 and 824,819 is: 1,717,607.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,089.50 : 824,819 = 824,819 : x
  2. Step 2: Convert to fraction form
    396,089.50/824,819 = 824,819/x
  3. Step 3: Cross multiply
    396,089.50x = 824,819 × 824,819
  4. Step 4: Simplify right side
    396,089.50x = 680,326,382,761
  5. Step 5: Solve for x
    x = 680,326,382,761/396,089.50
  6. Step 6: Final answer
    x = 1,717,607.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.