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Finding the Third Proportional to 482,125.50 and 713,346.75

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Solution

The third proportional to 482,125.50 and 713,346.75 is: 1,055,458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,125.50 : 713,346.75 = 713,346.75 : x
  2. Step 2: Convert to fraction form
    482,125.50/713,346.75 = 713,346.75/x
  3. Step 3: Cross multiply
    482,125.50x = 713,346.75 × 713,346.75
  4. Step 4: Simplify right side
    482,125.50x = 508,863,585,735.56
  5. Step 5: Solve for x
    x = 508,863,585,735.56/482,125.50
  6. Step 6: Final answer
    x = 1,055,458.77

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.