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Finding the Third Proportional to 192,472 and 428,688

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Solution

The third proportional to 192,472 and 428,688 is: 954,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,472 : 428,688 = 428,688 : x
  2. Step 2: Convert to fraction form
    192,472/428,688 = 428,688/x
  3. Step 3: Cross multiply
    192,472x = 428,688 × 428,688
  4. Step 4: Simplify right side
    192,472x = 183,773,401,344
  5. Step 5: Solve for x
    x = 183,773,401,344/192,472
  6. Step 6: Final answer
    x = 954,805.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.