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Finding the Third Proportional to 245,676 and 389,533.50

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Solution

The third proportional to 245,676 and 389,533.50 is: 617,627.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,676 : 389,533.50 = 389,533.50 : x
  2. Step 2: Convert to fraction form
    245,676/389,533.50 = 389,533.50/x
  3. Step 3: Cross multiply
    245,676x = 389,533.50 × 389,533.50
  4. Step 4: Simplify right side
    245,676x = 151,736,347,622.25
  5. Step 5: Solve for x
    x = 151,736,347,622.25/245,676
  6. Step 6: Final answer
    x = 617,627.88

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