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Finding the Third Proportional to 354,506.25 and 530,519.25

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Solution

The third proportional to 354,506.25 and 530,519.25 is: 793,923.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,506.25 : 530,519.25 = 530,519.25 : x
  2. Step 2: Convert to fraction form
    354,506.25/530,519.25 = 530,519.25/x
  3. Step 3: Cross multiply
    354,506.25x = 530,519.25 × 530,519.25
  4. Step 4: Simplify right side
    354,506.25x = 281,450,674,620.56
  5. Step 5: Solve for x
    x = 281,450,674,620.56/354,506.25
  6. Step 6: Final answer
    x = 793,923.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.