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Finding the Third Proportional to 362,353 and 768,554

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Solution

The third proportional to 362,353 and 768,554 is: 1,630,110.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,353 : 768,554 = 768,554 : x
  2. Step 2: Convert to fraction form
    362,353/768,554 = 768,554/x
  3. Step 3: Cross multiply
    362,353x = 768,554 × 768,554
  4. Step 4: Simplify right side
    362,353x = 590,675,250,916
  5. Step 5: Solve for x
    x = 590,675,250,916/362,353
  6. Step 6: Final answer
    x = 1,630,110.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.