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Finding the Third Proportional to 435,924.50 and 923,707

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Solution

The third proportional to 435,924.50 and 923,707 is: 1,957,299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,924.50 : 923,707 = 923,707 : x
  2. Step 2: Convert to fraction form
    435,924.50/923,707 = 923,707/x
  3. Step 3: Cross multiply
    435,924.50x = 923,707 × 923,707
  4. Step 4: Simplify right side
    435,924.50x = 853,234,621,849
  5. Step 5: Solve for x
    x = 853,234,621,849/435,924.50
  6. Step 6: Final answer
    x = 1,957,299.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.