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Finding the Third Proportional to 396,088.50 and 824,817

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Solution

The third proportional to 396,088.50 and 824,817 is: 1,717,603.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,088.50 : 824,817 = 824,817 : x
  2. Step 2: Convert to fraction form
    396,088.50/824,817 = 824,817/x
  3. Step 3: Cross multiply
    396,088.50x = 824,817 × 824,817
  4. Step 4: Simplify right side
    396,088.50x = 680,323,083,489
  5. Step 5: Solve for x
    x = 680,323,083,489/396,088.50
  6. Step 6: Final answer
    x = 1,717,603.73

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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.