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Finding the Third Proportional to 362,058 and 772,194

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Solution

The third proportional to 362,058 and 772,194 is: 1,646,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,058 : 772,194 = 772,194 : x
  2. Step 2: Convert to fraction form
    362,058/772,194 = 772,194/x
  3. Step 3: Cross multiply
    362,058x = 772,194 × 772,194
  4. Step 4: Simplify right side
    362,058x = 596,283,573,636
  5. Step 5: Solve for x
    x = 596,283,573,636/362,058
  6. Step 6: Final answer
    x = 1,646,928.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.