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Finding the Third Proportional to 258,740 and 565,571

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Solution

The third proportional to 258,740 and 565,571 is: 1,236,262.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,740 : 565,571 = 565,571 : x
  2. Step 2: Convert to fraction form
    258,740/565,571 = 565,571/x
  3. Step 3: Cross multiply
    258,740x = 565,571 × 565,571
  4. Step 4: Simplify right side
    258,740x = 319,870,556,041
  5. Step 5: Solve for x
    x = 319,870,556,041/258,740
  6. Step 6: Final answer
    x = 1,236,262.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.