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Finding the Third Proportional to 281,109.50 and 434,800.50

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Solution

The third proportional to 281,109.50 and 434,800.50 is: 672,518.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,109.50 : 434,800.50 = 434,800.50 : x
  2. Step 2: Convert to fraction form
    281,109.50/434,800.50 = 434,800.50/x
  3. Step 3: Cross multiply
    281,109.50x = 434,800.50 × 434,800.50
  4. Step 4: Simplify right side
    281,109.50x = 189,051,474,800.25
  5. Step 5: Solve for x
    x = 189,051,474,800.25/281,109.50
  6. Step 6: Final answer
    x = 672,518.98

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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.