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Finding the Third Proportional to 365,108.77 and 794,507.48

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Solution

The third proportional to 365,108.77 and 794,507.48 is: 1,728,915.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,108.77 : 794,507.48 = 794,507.48 : x
  2. Step 2: Convert to fraction form
    365,108.77/794,507.48 = 794,507.48/x
  3. Step 3: Cross multiply
    365,108.77x = 794,507.48 × 794,507.48
  4. Step 4: Simplify right side
    365,108.77x = 631,242,142,727.89
  5. Step 5: Solve for x
    x = 631,242,142,727.89/365,108.77
  6. Step 6: Final answer
    x = 1,728,915.33

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