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Finding the Third Proportional to 219,309 and 471,252

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Solution

The third proportional to 219,309 and 471,252 is: 1,012,628.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,309 : 471,252 = 471,252 : x
  2. Step 2: Convert to fraction form
    219,309/471,252 = 471,252/x
  3. Step 3: Cross multiply
    219,309x = 471,252 × 471,252
  4. Step 4: Simplify right side
    219,309x = 222,078,447,504
  5. Step 5: Solve for x
    x = 222,078,447,504/219,309
  6. Step 6: Final answer
    x = 1,012,628.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.