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Finding the Third Proportional to 281,269.50 and 446,814

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Solution

The third proportional to 281,269.50 and 446,814 is: 709,791.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,269.50 : 446,814 = 446,814 : x
  2. Step 2: Convert to fraction form
    281,269.50/446,814 = 446,814/x
  3. Step 3: Cross multiply
    281,269.50x = 446,814 × 446,814
  4. Step 4: Simplify right side
    281,269.50x = 199,642,750,596
  5. Step 5: Solve for x
    x = 199,642,750,596/281,269.50
  6. Step 6: Final answer
    x = 709,791.68

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Why These Related Problems?

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