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Finding the Third Proportional to 374,107.50 and 573,736.50

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Solution

The third proportional to 374,107.50 and 573,736.50 is: 879,890.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,107.50 : 573,736.50 = 573,736.50 : x
  2. Step 2: Convert to fraction form
    374,107.50/573,736.50 = 573,736.50/x
  3. Step 3: Cross multiply
    374,107.50x = 573,736.50 × 573,736.50
  4. Step 4: Simplify right side
    374,107.50x = 329,173,571,432.25
  5. Step 5: Solve for x
    x = 329,173,571,432.25/374,107.50
  6. Step 6: Final answer
    x = 879,890.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.