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Finding the Third Proportional to 356,845.50 and 521,029.97

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Solution

The third proportional to 356,845.50 and 521,029.97 is: 760,755.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,845.50 : 521,029.97 = 521,029.97 : x
  2. Step 2: Convert to fraction form
    356,845.50/521,029.97 = 521,029.97/x
  3. Step 3: Cross multiply
    356,845.50x = 521,029.97 × 521,029.97
  4. Step 4: Simplify right side
    356,845.50x = 271,472,228,335.63
  5. Step 5: Solve for x
    x = 271,472,228,335.63/356,845.50
  6. Step 6: Final answer
    x = 760,755.64

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.