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Finding the Third Proportional to 400,710 and 624,042

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Solution

The third proportional to 400,710 and 624,042 is: 971,846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,710 : 624,042 = 624,042 : x
  2. Step 2: Convert to fraction form
    400,710/624,042 = 624,042/x
  3. Step 3: Cross multiply
    400,710x = 624,042 × 624,042
  4. Step 4: Simplify right side
    400,710x = 389,428,417,764
  5. Step 5: Solve for x
    x = 389,428,417,764/400,710
  6. Step 6: Final answer
    x = 971,846.02

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