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Finding the Third Proportional to 271,808 and 614,082

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Solution

The third proportional to 271,808 and 614,082 is: 1,387,364.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,808 : 614,082 = 614,082 : x
  2. Step 2: Convert to fraction form
    271,808/614,082 = 614,082/x
  3. Step 3: Cross multiply
    271,808x = 614,082 × 614,082
  4. Step 4: Simplify right side
    271,808x = 377,096,702,724
  5. Step 5: Solve for x
    x = 377,096,702,724/271,808
  6. Step 6: Final answer
    x = 1,387,364.25

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.