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Finding the Third Proportional to 215,338.50 and 441,423

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Solution

The third proportional to 215,338.50 and 441,423 is: 904,874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,338.50 : 441,423 = 441,423 : x
  2. Step 2: Convert to fraction form
    215,338.50/441,423 = 441,423/x
  3. Step 3: Cross multiply
    215,338.50x = 441,423 × 441,423
  4. Step 4: Simplify right side
    215,338.50x = 194,854,264,929
  5. Step 5: Solve for x
    x = 194,854,264,929/215,338.50
  6. Step 6: Final answer
    x = 904,874.26

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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.