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Finding the Third Proportional to 219,958 and 471,020

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Solution

The third proportional to 219,958 and 471,020 is: 1,008,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,958 : 471,020 = 471,020 : x
  2. Step 2: Convert to fraction form
    219,958/471,020 = 471,020/x
  3. Step 3: Cross multiply
    219,958x = 471,020 × 471,020
  4. Step 4: Simplify right side
    219,958x = 221,859,840,400
  5. Step 5: Solve for x
    x = 221,859,840,400/219,958
  6. Step 6: Final answer
    x = 1,008,646.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.