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Finding the Third Proportional to 433,334 and 624,178

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Solution

The third proportional to 433,334 and 624,178 is: 899,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,334 : 624,178 = 624,178 : x
  2. Step 2: Convert to fraction form
    433,334/624,178 = 624,178/x
  3. Step 3: Cross multiply
    433,334x = 624,178 × 624,178
  4. Step 4: Simplify right side
    433,334x = 389,598,175,684
  5. Step 5: Solve for x
    x = 389,598,175,684/433,334
  6. Step 6: Final answer
    x = 899,071.33

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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.