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Finding the Third Proportional to 433,152 and 649,728

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Solution

The third proportional to 433,152 and 649,728 is: 974,592

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,152 : 649,728 = 649,728 : x
  2. Step 2: Convert to fraction form
    433,152/649,728 = 649,728/x
  3. Step 3: Cross multiply
    433,152x = 649,728 × 649,728
  4. Step 4: Simplify right side
    433,152x = 422,146,473,984
  5. Step 5: Solve for x
    x = 422,146,473,984/433,152
  6. Step 6: Final answer
    x = 974,592

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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.