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Finding the Third Proportional to 401,812 and 621,610

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Solution

The third proportional to 401,812 and 621,610 is: 961,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,812 : 621,610 = 621,610 : x
  2. Step 2: Convert to fraction form
    401,812/621,610 = 621,610/x
  3. Step 3: Cross multiply
    401,812x = 621,610 × 621,610
  4. Step 4: Simplify right side
    401,812x = 386,398,992,100
  5. Step 5: Solve for x
    x = 386,398,992,100/401,812
  6. Step 6: Final answer
    x = 961,641.25

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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.