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Finding the Third Proportional to 259,004 and 400,008

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Solution

The third proportional to 259,004 and 400,008 is: 617,775.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,004 : 400,008 = 400,008 : x
  2. Step 2: Convert to fraction form
    259,004/400,008 = 400,008/x
  3. Step 3: Cross multiply
    259,004x = 400,008 × 400,008
  4. Step 4: Simplify right side
    259,004x = 160,006,400,064
  5. Step 5: Solve for x
    x = 160,006,400,064/259,004
  6. Step 6: Final answer
    x = 617,775.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.