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Finding the Third Proportional to 199,749 and 427,929

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Solution

The third proportional to 199,749 and 427,929 is: 916,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,749 : 427,929 = 427,929 : x
  2. Step 2: Convert to fraction form
    199,749/427,929 = 427,929/x
  3. Step 3: Cross multiply
    199,749x = 427,929 × 427,929
  4. Step 4: Simplify right side
    199,749x = 183,123,229,041
  5. Step 5: Solve for x
    x = 183,123,229,041/199,749
  6. Step 6: Final answer
    x = 916,766.69

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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.