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Finding the Third Proportional to 327,106 and 492,283

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Solution

The third proportional to 327,106 and 492,283 is: 740,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,106 : 492,283 = 492,283 : x
  2. Step 2: Convert to fraction form
    327,106/492,283 = 492,283/x
  3. Step 3: Cross multiply
    327,106x = 492,283 × 492,283
  4. Step 4: Simplify right side
    327,106x = 242,342,552,089
  5. Step 5: Solve for x
    x = 242,342,552,089/327,106
  6. Step 6: Final answer
    x = 740,868.56

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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.