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Finding the Third Proportional to 280,107 and 434,443.50

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Solution

The third proportional to 280,107 and 434,443.50 is: 673,818.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,107 : 434,443.50 = 434,443.50 : x
  2. Step 2: Convert to fraction form
    280,107/434,443.50 = 434,443.50/x
  3. Step 3: Cross multiply
    280,107x = 434,443.50 × 434,443.50
  4. Step 4: Simplify right side
    280,107x = 188,741,154,692.25
  5. Step 5: Solve for x
    x = 188,741,154,692.25/280,107
  6. Step 6: Final answer
    x = 673,818.06

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