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Finding the Third Proportional to 377,071 and 813,191

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Solution

The third proportional to 377,071 and 813,191 is: 1,753,727.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,071 : 813,191 = 813,191 : x
  2. Step 2: Convert to fraction form
    377,071/813,191 = 813,191/x
  3. Step 3: Cross multiply
    377,071x = 813,191 × 813,191
  4. Step 4: Simplify right side
    377,071x = 661,279,602,481
  5. Step 5: Solve for x
    x = 661,279,602,481/377,071
  6. Step 6: Final answer
    x = 1,753,727.02

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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.