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Finding the Third Proportional to 199,904 and 429,450

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Solution

The third proportional to 199,904 and 429,450 is: 922,579.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,904 : 429,450 = 429,450 : x
  2. Step 2: Convert to fraction form
    199,904/429,450 = 429,450/x
  3. Step 3: Cross multiply
    199,904x = 429,450 × 429,450
  4. Step 4: Simplify right side
    199,904x = 184,427,302,500
  5. Step 5: Solve for x
    x = 184,427,302,500/199,904
  6. Step 6: Final answer
    x = 922,579.35

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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.