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Finding the Third Proportional to 413,938 and 624,148

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Solution

The third proportional to 413,938 and 624,148 is: 941,108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,938 : 624,148 = 624,148 : x
  2. Step 2: Convert to fraction form
    413,938/624,148 = 624,148/x
  3. Step 3: Cross multiply
    413,938x = 624,148 × 624,148
  4. Step 4: Simplify right side
    413,938x = 389,560,725,904
  5. Step 5: Solve for x
    x = 389,560,725,904/413,938
  6. Step 6: Final answer
    x = 941,108.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.