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Finding the Third Proportional to 251,824.50 and 413,005.50

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Solution

The third proportional to 251,824.50 and 413,005.50 is: 677,350.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,824.50 : 413,005.50 = 413,005.50 : x
  2. Step 2: Convert to fraction form
    251,824.50/413,005.50 = 413,005.50/x
  3. Step 3: Cross multiply
    251,824.50x = 413,005.50 × 413,005.50
  4. Step 4: Simplify right side
    251,824.50x = 170,573,543,030.25
  5. Step 5: Solve for x
    x = 170,573,543,030.25/251,824.50
  6. Step 6: Final answer
    x = 677,350.87

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.