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Finding the Third Proportional to 505,568 and 761,556

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Solution

The third proportional to 505,568 and 761,556 is: 1,147,160.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,568 : 761,556 = 761,556 : x
  2. Step 2: Convert to fraction form
    505,568/761,556 = 761,556/x
  3. Step 3: Cross multiply
    505,568x = 761,556 × 761,556
  4. Step 4: Simplify right side
    505,568x = 579,967,541,136
  5. Step 5: Solve for x
    x = 579,967,541,136/505,568
  6. Step 6: Final answer
    x = 1,147,160.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.