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Finding the Third Proportional to 394,030 and 624,033

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Solution

The third proportional to 394,030 and 624,033 is: 988,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,030 : 624,033 = 624,033 : x
  2. Step 2: Convert to fraction form
    394,030/624,033 = 624,033/x
  3. Step 3: Cross multiply
    394,030x = 624,033 × 624,033
  4. Step 4: Simplify right side
    394,030x = 389,417,185,089
  5. Step 5: Solve for x
    x = 389,417,185,089/394,030
  6. Step 6: Final answer
    x = 988,293.24

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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.