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Finding the Third Proportional to 199,584 and 433,728

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Solution

The third proportional to 199,584 and 433,728 is: 942,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,584 : 433,728 = 433,728 : x
  2. Step 2: Convert to fraction form
    199,584/433,728 = 433,728/x
  3. Step 3: Cross multiply
    199,584x = 433,728 × 433,728
  4. Step 4: Simplify right side
    199,584x = 188,119,977,984
  5. Step 5: Solve for x
    x = 188,119,977,984/199,584
  6. Step 6: Final answer
    x = 942,560.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.