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Finding the Third Proportional to 214,371 and 471,294

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Solution

The third proportional to 214,371 and 471,294 is: 1,036,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,371 : 471,294 = 471,294 : x
  2. Step 2: Convert to fraction form
    214,371/471,294 = 471,294/x
  3. Step 3: Cross multiply
    214,371x = 471,294 × 471,294
  4. Step 4: Simplify right side
    214,371x = 222,118,034,436
  5. Step 5: Solve for x
    x = 222,118,034,436/214,371
  6. Step 6: Final answer
    x = 1,036,138.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.