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Finding the Third Proportional to 219,344 and 476,272

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Solution

The third proportional to 219,344 and 476,272 is: 1,034,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,344 : 476,272 = 476,272 : x
  2. Step 2: Convert to fraction form
    219,344/476,272 = 476,272/x
  3. Step 3: Cross multiply
    219,344x = 476,272 × 476,272
  4. Step 4: Simplify right side
    219,344x = 226,835,017,984
  5. Step 5: Solve for x
    x = 226,835,017,984/219,344
  6. Step 6: Final answer
    x = 1,034,151.92

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.