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Finding the Third Proportional to 301,680 and 480,199.50

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Solution

The third proportional to 301,680 and 480,199.50 is: 764,358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,680 : 480,199.50 = 480,199.50 : x
  2. Step 2: Convert to fraction form
    301,680/480,199.50 = 480,199.50/x
  3. Step 3: Cross multiply
    301,680x = 480,199.50 × 480,199.50
  4. Step 4: Simplify right side
    301,680x = 230,591,559,800.25
  5. Step 5: Solve for x
    x = 230,591,559,800.25/301,680
  6. Step 6: Final answer
    x = 764,358.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.