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Finding the Third Proportional to 195,308 and 428,007

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Solution

The third proportional to 195,308 and 428,007 is: 937,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,308 : 428,007 = 428,007 : x
  2. Step 2: Convert to fraction form
    195,308/428,007 = 428,007/x
  3. Step 3: Cross multiply
    195,308x = 428,007 × 428,007
  4. Step 4: Simplify right side
    195,308x = 183,189,992,049
  5. Step 5: Solve for x
    x = 183,189,992,049/195,308
  6. Step 6: Final answer
    x = 937,954.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.