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Finding the Third Proportional to 259,896 and 388,786

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Solution

The third proportional to 259,896 and 388,786 is: 581,596.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,896 : 388,786 = 388,786 : x
  2. Step 2: Convert to fraction form
    259,896/388,786 = 388,786/x
  3. Step 3: Cross multiply
    259,896x = 388,786 × 388,786
  4. Step 4: Simplify right side
    259,896x = 151,154,553,796
  5. Step 5: Solve for x
    x = 151,154,553,796/259,896
  6. Step 6: Final answer
    x = 581,596.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.