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Finding the Third Proportional to 320,599.50 and 498,399.75

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Solution

The third proportional to 320,599.50 and 498,399.75 is: 774,805.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,599.50 : 498,399.75 = 498,399.75 : x
  2. Step 2: Convert to fraction form
    320,599.50/498,399.75 = 498,399.75/x
  3. Step 3: Cross multiply
    320,599.50x = 498,399.75 × 498,399.75
  4. Step 4: Simplify right side
    320,599.50x = 248,402,310,800.06
  5. Step 5: Solve for x
    x = 248,402,310,800.06/320,599.50
  6. Step 6: Final answer
    x = 774,805.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.