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Finding the Third Proportional to 368,782 and 569,551

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Solution

The third proportional to 368,782 and 569,551 is: 879,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,782 : 569,551 = 569,551 : x
  2. Step 2: Convert to fraction form
    368,782/569,551 = 569,551/x
  3. Step 3: Cross multiply
    368,782x = 569,551 × 569,551
  4. Step 4: Simplify right side
    368,782x = 324,388,341,601
  5. Step 5: Solve for x
    x = 324,388,341,601/368,782
  6. Step 6: Final answer
    x = 879,620.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.