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Finding the Third Proportional to 203,301 and 429,489.63

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Solution

The third proportional to 203,301 and 429,489.63 is: 907,331.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,301 : 429,489.63 = 429,489.63 : x
  2. Step 2: Convert to fraction form
    203,301/429,489.63 = 429,489.63/x
  3. Step 3: Cross multiply
    203,301x = 429,489.63 × 429,489.63
  4. Step 4: Simplify right side
    203,301x = 184,461,337,982.64
  5. Step 5: Solve for x
    x = 184,461,337,982.64/203,301
  6. Step 6: Final answer
    x = 907,331.19

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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.