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Finding the Third Proportional to 356,593.50 and 783,171

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Solution

The third proportional to 356,593.50 and 783,171 is: 1,720,044.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,593.50 : 783,171 = 783,171 : x
  2. Step 2: Convert to fraction form
    356,593.50/783,171 = 783,171/x
  3. Step 3: Cross multiply
    356,593.50x = 783,171 × 783,171
  4. Step 4: Simplify right side
    356,593.50x = 613,356,815,241
  5. Step 5: Solve for x
    x = 613,356,815,241/356,593.50
  6. Step 6: Final answer
    x = 1,720,044.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.