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Finding the Third Proportional to 259,511 and 559,036

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Solution

The third proportional to 259,511 and 559,036 is: 1,204,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,511 : 559,036 = 559,036 : x
  2. Step 2: Convert to fraction form
    259,511/559,036 = 559,036/x
  3. Step 3: Cross multiply
    259,511x = 559,036 × 559,036
  4. Step 4: Simplify right side
    259,511x = 312,521,249,296
  5. Step 5: Solve for x
    x = 312,521,249,296/259,511
  6. Step 6: Final answer
    x = 1,204,269.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.