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Finding the Third Proportional to 199,567 and 428,658

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Solution

The third proportional to 199,567 and 428,658 is: 920,731.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,567 : 428,658 = 428,658 : x
  2. Step 2: Convert to fraction form
    199,567/428,658 = 428,658/x
  3. Step 3: Cross multiply
    199,567x = 428,658 × 428,658
  4. Step 4: Simplify right side
    199,567x = 183,747,680,964
  5. Step 5: Solve for x
    x = 183,747,680,964/199,567
  6. Step 6: Final answer
    x = 920,731.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.