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Finding the Third Proportional to 235,216 and 482,912

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Solution

The third proportional to 235,216 and 482,912 is: 991,446.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,216 : 482,912 = 482,912 : x
  2. Step 2: Convert to fraction form
    235,216/482,912 = 482,912/x
  3. Step 3: Cross multiply
    235,216x = 482,912 × 482,912
  4. Step 4: Simplify right side
    235,216x = 233,203,999,744
  5. Step 5: Solve for x
    x = 233,203,999,744/235,216
  6. Step 6: Final answer
    x = 991,446.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.