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Finding the Third Proportional to 365,704 and 799,760

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Solution

The third proportional to 365,704 and 799,760 is: 1,748,999.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,704 : 799,760 = 799,760 : x
  2. Step 2: Convert to fraction form
    365,704/799,760 = 799,760/x
  3. Step 3: Cross multiply
    365,704x = 799,760 × 799,760
  4. Step 4: Simplify right side
    365,704x = 639,616,057,600
  5. Step 5: Solve for x
    x = 639,616,057,600/365,704
  6. Step 6: Final answer
    x = 1,748,999.35

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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.