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Finding the Third Proportional to 368,796 and 804,330

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Solution

The third proportional to 368,796 and 804,330 is: 1,754,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,796 : 804,330 = 804,330 : x
  2. Step 2: Convert to fraction form
    368,796/804,330 = 804,330/x
  3. Step 3: Cross multiply
    368,796x = 804,330 × 804,330
  4. Step 4: Simplify right side
    368,796x = 646,946,748,900
  5. Step 5: Solve for x
    x = 646,946,748,900/368,796
  6. Step 6: Final answer
    x = 1,754,213.03

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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.