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Finding the Third Proportional to 368,712 and 804,168

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Solution

The third proportional to 368,712 and 804,168 is: 1,753,905.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,712 : 804,168 = 804,168 : x
  2. Step 2: Convert to fraction form
    368,712/804,168 = 804,168/x
  3. Step 3: Cross multiply
    368,712x = 804,168 × 804,168
  4. Step 4: Simplify right side
    368,712x = 646,686,172,224
  5. Step 5: Solve for x
    x = 646,686,172,224/368,712
  6. Step 6: Final answer
    x = 1,753,905.95

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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.