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Finding the Third Proportional to 261,783 and 569,914

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Solution

The third proportional to 261,783 and 569,914 is: 1,240,729.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,783 : 569,914 = 569,914 : x
  2. Step 2: Convert to fraction form
    261,783/569,914 = 569,914/x
  3. Step 3: Cross multiply
    261,783x = 569,914 × 569,914
  4. Step 4: Simplify right side
    261,783x = 324,801,967,396
  5. Step 5: Solve for x
    x = 324,801,967,396/261,783
  6. Step 6: Final answer
    x = 1,240,729.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.