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Finding the Third Proportional to 484,096.50 and 746,556.75

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Solution

The third proportional to 484,096.50 and 746,556.75 is: 1,151,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,096.50 : 746,556.75 = 746,556.75 : x
  2. Step 2: Convert to fraction form
    484,096.50/746,556.75 = 746,556.75/x
  3. Step 3: Cross multiply
    484,096.50x = 746,556.75 × 746,556.75
  4. Step 4: Simplify right side
    484,096.50x = 557,346,980,970.56
  5. Step 5: Solve for x
    x = 557,346,980,970.56/484,096.50
  6. Step 6: Final answer
    x = 1,151,313.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.