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Finding the Third Proportional to 219,352 and 476,288

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Solution

The third proportional to 219,352 and 476,288 is: 1,034,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,352 : 476,288 = 476,288 : x
  2. Step 2: Convert to fraction form
    219,352/476,288 = 476,288/x
  3. Step 3: Cross multiply
    219,352x = 476,288 × 476,288
  4. Step 4: Simplify right side
    219,352x = 226,850,258,944
  5. Step 5: Solve for x
    x = 226,850,258,944/219,352
  6. Step 6: Final answer
    x = 1,034,183.68

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Why These Related Problems?

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