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Finding the Third Proportional to 377,072 and 813,184

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Solution

The third proportional to 377,072 and 813,184 is: 1,753,692.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,072 : 813,184 = 813,184 : x
  2. Step 2: Convert to fraction form
    377,072/813,184 = 813,184/x
  3. Step 3: Cross multiply
    377,072x = 813,184 × 813,184
  4. Step 4: Simplify right side
    377,072x = 661,268,217,856
  5. Step 5: Solve for x
    x = 661,268,217,856/377,072
  6. Step 6: Final answer
    x = 1,753,692.18

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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.