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Finding the Third Proportional to 377,089 and 813,213

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Solution

The third proportional to 377,089 and 813,213 is: 1,753,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,089 : 813,213 = 813,213 : x
  2. Step 2: Convert to fraction form
    377,089/813,213 = 813,213/x
  3. Step 3: Cross multiply
    377,089x = 813,213 × 813,213
  4. Step 4: Simplify right side
    377,089x = 661,315,383,369
  5. Step 5: Solve for x
    x = 661,315,383,369/377,089
  6. Step 6: Final answer
    x = 1,753,738.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.