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Finding the Third Proportional to 433,192 and 649,788

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Solution

The third proportional to 433,192 and 649,788 is: 974,682

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,192 : 649,788 = 649,788 : x
  2. Step 2: Convert to fraction form
    433,192/649,788 = 649,788/x
  3. Step 3: Cross multiply
    433,192x = 649,788 × 649,788
  4. Step 4: Simplify right side
    433,192x = 422,224,444,944
  5. Step 5: Solve for x
    x = 422,224,444,944/433,192
  6. Step 6: Final answer
    x = 974,682

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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.