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Finding the Third Proportional to 374,280.75 and 820,300.50

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Solution

The third proportional to 374,280.75 and 820,300.50 is: 1,797,829.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,280.75 : 820,300.50 = 820,300.50 : x
  2. Step 2: Convert to fraction form
    374,280.75/820,300.50 = 820,300.50/x
  3. Step 3: Cross multiply
    374,280.75x = 820,300.50 × 820,300.50
  4. Step 4: Simplify right side
    374,280.75x = 672,892,910,300.25
  5. Step 5: Solve for x
    x = 672,892,910,300.25/374,280.75
  6. Step 6: Final answer
    x = 1,797,829.33

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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.