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Finding the Third Proportional to 219,324 and 471,900

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Solution

The third proportional to 219,324 and 471,900 is: 1,015,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,324 : 471,900 = 471,900 : x
  2. Step 2: Convert to fraction form
    219,324/471,900 = 471,900/x
  3. Step 3: Cross multiply
    219,324x = 471,900 × 471,900
  4. Step 4: Simplify right side
    219,324x = 222,689,610,000
  5. Step 5: Solve for x
    x = 222,689,610,000/219,324
  6. Step 6: Final answer
    x = 1,015,345.38

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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.