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Finding the Third Proportional to 400,704 and 624,033

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Solution

The third proportional to 400,704 and 624,033 is: 971,832.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,704 : 624,033 = 624,033 : x
  2. Step 2: Convert to fraction form
    400,704/624,033 = 624,033/x
  3. Step 3: Cross multiply
    400,704x = 624,033 × 624,033
  4. Step 4: Simplify right side
    400,704x = 389,417,185,089
  5. Step 5: Solve for x
    x = 389,417,185,089/400,704
  6. Step 6: Final answer
    x = 971,832.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.