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Finding the Third Proportional to 400,658 and 623,965

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Solution

The third proportional to 400,658 and 623,965 is: 971,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,658 : 623,965 = 623,965 : x
  2. Step 2: Convert to fraction form
    400,658/623,965 = 623,965/x
  3. Step 3: Cross multiply
    400,658x = 623,965 × 623,965
  4. Step 4: Simplify right side
    400,658x = 389,332,321,225
  5. Step 5: Solve for x
    x = 389,332,321,225/400,658
  6. Step 6: Final answer
    x = 971,732.30

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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.