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Finding the Third Proportional to 219,515 and 471,758

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Solution

The third proportional to 219,515 and 471,758 is: 1,013,851.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,515 : 471,758 = 471,758 : x
  2. Step 2: Convert to fraction form
    219,515/471,758 = 471,758/x
  3. Step 3: Cross multiply
    219,515x = 471,758 × 471,758
  4. Step 4: Simplify right side
    219,515x = 222,555,610,564
  5. Step 5: Solve for x
    x = 222,555,610,564/219,515
  6. Step 6: Final answer
    x = 1,013,851.49

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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.