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Finding the Third Proportional to 409,884.50 and 573,175.50

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Solution

The third proportional to 409,884.50 and 573,175.50 is: 801,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,884.50 : 573,175.50 = 573,175.50 : x
  2. Step 2: Convert to fraction form
    409,884.50/573,175.50 = 573,175.50/x
  3. Step 3: Cross multiply
    409,884.50x = 573,175.50 × 573,175.50
  4. Step 4: Simplify right side
    409,884.50x = 328,530,153,800.25
  5. Step 5: Solve for x
    x = 328,530,153,800.25/409,884.50
  6. Step 6: Final answer
    x = 801,518.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.