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Finding the Third Proportional to 281,626.50 and 435,810

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Solution

The third proportional to 281,626.50 and 435,810 is: 674,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,626.50 : 435,810 = 435,810 : x
  2. Step 2: Convert to fraction form
    281,626.50/435,810 = 435,810/x
  3. Step 3: Cross multiply
    281,626.50x = 435,810 × 435,810
  4. Step 4: Simplify right side
    281,626.50x = 189,930,356,100
  5. Step 5: Solve for x
    x = 189,930,356,100/281,626.50
  6. Step 6: Final answer
    x = 674,405.13

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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.