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Finding the Third Proportional to 382,209.75 and 573,250.50

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Solution

The third proportional to 382,209.75 and 573,250.50 is: 859,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,209.75 : 573,250.50 = 573,250.50 : x
  2. Step 2: Convert to fraction form
    382,209.75/573,250.50 = 573,250.50/x
  3. Step 3: Cross multiply
    382,209.75x = 573,250.50 × 573,250.50
  4. Step 4: Simplify right side
    382,209.75x = 328,616,135,750.25
  5. Step 5: Solve for x
    x = 328,616,135,750.25/382,209.75
  6. Step 6: Final answer
    x = 859,779.57

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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.