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Finding the Third Proportional to 352,813.50 and 530,014.50

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Solution

The third proportional to 352,813.50 and 530,014.50 is: 796,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,813.50 : 530,014.50 = 530,014.50 : x
  2. Step 2: Convert to fraction form
    352,813.50/530,014.50 = 530,014.50/x
  3. Step 3: Cross multiply
    352,813.50x = 530,014.50 × 530,014.50
  4. Step 4: Simplify right side
    352,813.50x = 280,915,370,210.25
  5. Step 5: Solve for x
    x = 280,915,370,210.25/352,813.50
  6. Step 6: Final answer
    x = 796,214.91

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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.