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Finding the Third Proportional to 362,365 and 768,578

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Solution

The third proportional to 362,365 and 768,578 is: 1,630,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,365 : 768,578 = 768,578 : x
  2. Step 2: Convert to fraction form
    362,365/768,578 = 768,578/x
  3. Step 3: Cross multiply
    362,365x = 768,578 × 768,578
  4. Step 4: Simplify right side
    362,365x = 590,712,142,084
  5. Step 5: Solve for x
    x = 590,712,142,084/362,365
  6. Step 6: Final answer
    x = 1,630,157.83

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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.