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Finding the Third Proportional to 433,156 and 649,734

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Solution

The third proportional to 433,156 and 649,734 is: 974,601

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,156 : 649,734 = 649,734 : x
  2. Step 2: Convert to fraction form
    433,156/649,734 = 649,734/x
  3. Step 3: Cross multiply
    433,156x = 649,734 × 649,734
  4. Step 4: Simplify right side
    433,156x = 422,154,270,756
  5. Step 5: Solve for x
    x = 422,154,270,756/433,156
  6. Step 6: Final answer
    x = 974,601

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.