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Finding the Third Proportional to 403,412 and 624,626

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Solution

The third proportional to 403,412 and 624,626 is: 967,144.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,412 : 624,626 = 624,626 : x
  2. Step 2: Convert to fraction form
    403,412/624,626 = 624,626/x
  3. Step 3: Cross multiply
    403,412x = 624,626 × 624,626
  4. Step 4: Simplify right side
    403,412x = 390,157,639,876
  5. Step 5: Solve for x
    x = 390,157,639,876/403,412
  6. Step 6: Final answer
    x = 967,144.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.