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Finding the Third Proportional to 374,451.50 and 820,175.50

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Solution

The third proportional to 374,451.50 and 820,175.50 is: 1,796,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,451.50 : 820,175.50 = 820,175.50 : x
  2. Step 2: Convert to fraction form
    374,451.50/820,175.50 = 820,175.50/x
  3. Step 3: Cross multiply
    374,451.50x = 820,175.50 × 820,175.50
  4. Step 4: Simplify right side
    374,451.50x = 672,687,850,800.25
  5. Step 5: Solve for x
    x = 672,687,850,800.25/374,451.50
  6. Step 6: Final answer
    x = 1,796,461.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.