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Finding the Third Proportional to 199,808 and 428,045

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Solution

The third proportional to 199,808 and 428,045 is: 916,992.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,808 : 428,045 = 428,045 : x
  2. Step 2: Convert to fraction form
    199,808/428,045 = 428,045/x
  3. Step 3: Cross multiply
    199,808x = 428,045 × 428,045
  4. Step 4: Simplify right side
    199,808x = 183,222,522,025
  5. Step 5: Solve for x
    x = 183,222,522,025/199,808
  6. Step 6: Final answer
    x = 916,992.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.