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Finding the Third Proportional to 332,533.13 and 498,115.69

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Solution

The third proportional to 332,533.13 and 498,115.69 is: 746,148.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,533.13 : 498,115.69 = 498,115.69 : x
  2. Step 2: Convert to fraction form
    332,533.13/498,115.69 = 498,115.69/x
  3. Step 3: Cross multiply
    332,533.13x = 498,115.69 × 498,115.69
  4. Step 4: Simplify right side
    332,533.13x = 248,119,238,133.60
  5. Step 5: Solve for x
    x = 248,119,238,133.60/332,533.13
  6. Step 6: Final answer
    x = 746,148.94

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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.