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Finding the Third Proportional to 433,196 and 649,794

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Solution

The third proportional to 433,196 and 649,794 is: 974,691

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,196 : 649,794 = 649,794 : x
  2. Step 2: Convert to fraction form
    433,196/649,794 = 649,794/x
  3. Step 3: Cross multiply
    433,196x = 649,794 × 649,794
  4. Step 4: Simplify right side
    433,196x = 422,232,242,436
  5. Step 5: Solve for x
    x = 422,232,242,436/433,196
  6. Step 6: Final answer
    x = 974,691

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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.