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Finding the Third Proportional to 377,181 and 813,411

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Solution

The third proportional to 377,181 and 813,411 is: 1,754,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,181 : 813,411 = 813,411 : x
  2. Step 2: Convert to fraction form
    377,181/813,411 = 813,411/x
  3. Step 3: Cross multiply
    377,181x = 813,411 × 813,411
  4. Step 4: Simplify right side
    377,181x = 661,637,454,921
  5. Step 5: Solve for x
    x = 661,637,454,921/377,181
  6. Step 6: Final answer
    x = 1,754,164.33

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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.