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Finding the Third Proportional to 203,300.77 and 429,489.11

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Solution

The third proportional to 203,300.77 and 429,489.11 is: 907,330.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,300.77 : 429,489.11 = 429,489.11 : x
  2. Step 2: Convert to fraction form
    203,300.77/429,489.11 = 429,489.11/x
  3. Step 3: Cross multiply
    203,300.77x = 429,489.11 × 429,489.11
  4. Step 4: Simplify right side
    203,300.77x = 184,460,891,716.35
  5. Step 5: Solve for x
    x = 184,460,891,716.35/203,300.77
  6. Step 6: Final answer
    x = 907,330.01

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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.