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Finding the Third Proportional to 365,690 and 799,732

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Solution

The third proportional to 365,690 and 799,732 is: 1,748,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,690 : 799,732 = 799,732 : x
  2. Step 2: Convert to fraction form
    365,690/799,732 = 799,732/x
  3. Step 3: Cross multiply
    365,690x = 799,732 × 799,732
  4. Step 4: Simplify right side
    365,690x = 639,571,271,824
  5. Step 5: Solve for x
    x = 639,571,271,824/365,690
  6. Step 6: Final answer
    x = 1,748,943.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.