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Finding the Third Proportional to 215,514 and 471,156

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Solution

The third proportional to 215,514 and 471,156 is: 1,030,039.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,514 : 471,156 = 471,156 : x
  2. Step 2: Convert to fraction form
    215,514/471,156 = 471,156/x
  3. Step 3: Cross multiply
    215,514x = 471,156 × 471,156
  4. Step 4: Simplify right side
    215,514x = 221,987,976,336
  5. Step 5: Solve for x
    x = 221,987,976,336/215,514
  6. Step 6: Final answer
    x = 1,030,039.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.