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Finding the Third Proportional to 259,047 and 399,644

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Solution

The third proportional to 259,047 and 399,644 is: 616,549.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,047 : 399,644 = 399,644 : x
  2. Step 2: Convert to fraction form
    259,047/399,644 = 399,644/x
  3. Step 3: Cross multiply
    259,047x = 399,644 × 399,644
  4. Step 4: Simplify right side
    259,047x = 159,715,326,736
  5. Step 5: Solve for x
    x = 159,715,326,736/259,047
  6. Step 6: Final answer
    x = 616,549.61

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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.