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Finding the Third Proportional to 377,058 and 813,156

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Solution

The third proportional to 377,058 and 813,156 is: 1,753,636.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,058 : 813,156 = 813,156 : x
  2. Step 2: Convert to fraction form
    377,058/813,156 = 813,156/x
  3. Step 3: Cross multiply
    377,058x = 813,156 × 813,156
  4. Step 4: Simplify right side
    377,058x = 661,222,680,336
  5. Step 5: Solve for x
    x = 661,222,680,336/377,058
  6. Step 6: Final answer
    x = 1,753,636.52

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