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Finding the Third Proportional to 215,366 and 441,468

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Solution

The third proportional to 215,366 and 441,468 is: 904,943.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,366 : 441,468 = 441,468 : x
  2. Step 2: Convert to fraction form
    215,366/441,468 = 441,468/x
  3. Step 3: Cross multiply
    215,366x = 441,468 × 441,468
  4. Step 4: Simplify right side
    215,366x = 194,893,995,024
  5. Step 5: Solve for x
    x = 194,893,995,024/215,366
  6. Step 6: Final answer
    x = 904,943.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.