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Finding the Third Proportional to 281,104.50 and 594,811.50

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Solution

The third proportional to 281,104.50 and 594,811.50 is: 1,258,609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,104.50 : 594,811.50 = 594,811.50 : x
  2. Step 2: Convert to fraction form
    281,104.50/594,811.50 = 594,811.50/x
  3. Step 3: Cross multiply
    281,104.50x = 594,811.50 × 594,811.50
  4. Step 4: Simplify right side
    281,104.50x = 353,800,720,532.25
  5. Step 5: Solve for x
    x = 353,800,720,532.25/281,104.50
  6. Step 6: Final answer
    x = 1,258,609.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.