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Finding the Third Proportional to 433,331 and 624,174

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Solution

The third proportional to 433,331 and 624,174 is: 899,066.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,331 : 624,174 = 624,174 : x
  2. Step 2: Convert to fraction form
    433,331/624,174 = 624,174/x
  3. Step 3: Cross multiply
    433,331x = 624,174 × 624,174
  4. Step 4: Simplify right side
    433,331x = 389,593,182,276
  5. Step 5: Solve for x
    x = 389,593,182,276/433,331
  6. Step 6: Final answer
    x = 899,066.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.