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Finding the Third Proportional to 365,796 and 797,748

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Solution

The third proportional to 365,796 and 797,748 is: 1,739,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,796 : 797,748 = 797,748 : x
  2. Step 2: Convert to fraction form
    365,796/797,748 = 797,748/x
  3. Step 3: Cross multiply
    365,796x = 797,748 × 797,748
  4. Step 4: Simplify right side
    365,796x = 636,401,871,504
  5. Step 5: Solve for x
    x = 636,401,871,504/365,796
  6. Step 6: Final answer
    x = 1,739,772.64

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Why These Related Problems?

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