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Finding the Third Proportional to 377,050 and 813,140

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Solution

The third proportional to 377,050 and 813,140 is: 1,753,604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,050 : 813,140 = 813,140 : x
  2. Step 2: Convert to fraction form
    377,050/813,140 = 813,140/x
  3. Step 3: Cross multiply
    377,050x = 813,140 × 813,140
  4. Step 4: Simplify right side
    377,050x = 661,196,659,600
  5. Step 5: Solve for x
    x = 661,196,659,600/377,050
  6. Step 6: Final answer
    x = 1,753,604.72

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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.