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Finding the Third Proportional to 259,156 and 399,804

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Solution

The third proportional to 259,156 and 399,804 is: 616,783.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,156 : 399,804 = 399,804 : x
  2. Step 2: Convert to fraction form
    259,156/399,804 = 399,804/x
  3. Step 3: Cross multiply
    259,156x = 399,804 × 399,804
  4. Step 4: Simplify right side
    259,156x = 159,843,238,416
  5. Step 5: Solve for x
    x = 159,843,238,416/259,156
  6. Step 6: Final answer
    x = 616,783.86

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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.