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Finding the Third Proportional to 325,739 and 498,295.50

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Solution

The third proportional to 325,739 and 498,295.50 is: 762,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,739 : 498,295.50 = 498,295.50 : x
  2. Step 2: Convert to fraction form
    325,739/498,295.50 = 498,295.50/x
  3. Step 3: Cross multiply
    325,739x = 498,295.50 × 498,295.50
  4. Step 4: Simplify right side
    325,739x = 248,298,405,320.25
  5. Step 5: Solve for x
    x = 248,298,405,320.25/325,739
  6. Step 6: Final answer
    x = 762,261.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.