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Finding the Third Proportional to 203,303 and 429,493

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Solution

The third proportional to 203,303 and 429,493 is: 907,336.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,303 : 429,493 = 429,493 : x
  2. Step 2: Convert to fraction form
    203,303/429,493 = 429,493/x
  3. Step 3: Cross multiply
    203,303x = 429,493 × 429,493
  4. Step 4: Simplify right side
    203,303x = 184,464,237,049
  5. Step 5: Solve for x
    x = 184,464,237,049/203,303
  6. Step 6: Final answer
    x = 907,336.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.