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Finding the Third Proportional to 309,926 and 436,436

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Solution

The third proportional to 309,926 and 436,436 is: 614,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,926 : 436,436 = 436,436 : x
  2. Step 2: Convert to fraction form
    309,926/436,436 = 436,436/x
  3. Step 3: Cross multiply
    309,926x = 436,436 × 436,436
  4. Step 4: Simplify right side
    309,926x = 190,476,382,096
  5. Step 5: Solve for x
    x = 190,476,382,096/309,926
  6. Step 6: Final answer
    x = 614,586.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.