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Finding the Third Proportional to 377,025.50 and 821,789

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Solution

The third proportional to 377,025.50 and 821,789 is: 1,791,224.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,025.50 : 821,789 = 821,789 : x
  2. Step 2: Convert to fraction form
    377,025.50/821,789 = 821,789/x
  3. Step 3: Cross multiply
    377,025.50x = 821,789 × 821,789
  4. Step 4: Simplify right side
    377,025.50x = 675,337,160,521
  5. Step 5: Solve for x
    x = 675,337,160,521/377,025.50
  6. Step 6: Final answer
    x = 1,791,224.10

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.