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Finding the Third Proportional to 273,627 and 385,056

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Solution

The third proportional to 273,627 and 385,056 is: 541,862.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,627 : 385,056 = 385,056 : x
  2. Step 2: Convert to fraction form
    273,627/385,056 = 385,056/x
  3. Step 3: Cross multiply
    273,627x = 385,056 × 385,056
  4. Step 4: Simplify right side
    273,627x = 148,268,123,136
  5. Step 5: Solve for x
    x = 148,268,123,136/273,627
  6. Step 6: Final answer
    x = 541,862.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.