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Finding the Third Proportional to 394,038 and 624,046

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Solution

The third proportional to 394,038 and 624,046 is: 988,314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,038 : 624,046 = 624,046 : x
  2. Step 2: Convert to fraction form
    394,038/624,046 = 624,046/x
  3. Step 3: Cross multiply
    394,038x = 624,046 × 624,046
  4. Step 4: Simplify right side
    394,038x = 389,433,410,116
  5. Step 5: Solve for x
    x = 389,433,410,116/394,038
  6. Step 6: Final answer
    x = 988,314.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.