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Finding the Third Proportional to 401,229 and 623,268

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Solution

The third proportional to 401,229 and 623,268 is: 968,182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,229 : 623,268 = 623,268 : x
  2. Step 2: Convert to fraction form
    401,229/623,268 = 623,268/x
  3. Step 3: Cross multiply
    401,229x = 623,268 × 623,268
  4. Step 4: Simplify right side
    401,229x = 388,462,999,824
  5. Step 5: Solve for x
    x = 388,462,999,824/401,229
  6. Step 6: Final answer
    x = 968,182.76

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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.