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Finding the Third Proportional to 325,974.19 and 498,649.88

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Solution

The third proportional to 325,974.19 and 498,649.88 is: 762,795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,974.19 : 498,649.88 = 498,649.88 : x
  2. Step 2: Convert to fraction form
    325,974.19/498,649.88 = 498,649.88/x
  3. Step 3: Cross multiply
    325,974.19x = 498,649.88 × 498,649.88
  4. Step 4: Simplify right side
    325,974.19x = 248,651,697,837.52
  5. Step 5: Solve for x
    x = 248,651,697,837.52/325,974.19
  6. Step 6: Final answer
    x = 762,795.67

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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.