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Finding the Third Proportional to 366,965 and 767,221

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Solution

The third proportional to 366,965 and 767,221 is: 1,604,044.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,965 : 767,221 = 767,221 : x
  2. Step 2: Convert to fraction form
    366,965/767,221 = 767,221/x
  3. Step 3: Cross multiply
    366,965x = 767,221 × 767,221
  4. Step 4: Simplify right side
    366,965x = 588,628,062,841
  5. Step 5: Solve for x
    x = 588,628,062,841/366,965
  6. Step 6: Final answer
    x = 1,604,044.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.