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Finding the Third Proportional to 210,852 and 464,904

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Solution

The third proportional to 210,852 and 464,904 is: 1,025,058.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,852 : 464,904 = 464,904 : x
  2. Step 2: Convert to fraction form
    210,852/464,904 = 464,904/x
  3. Step 3: Cross multiply
    210,852x = 464,904 × 464,904
  4. Step 4: Simplify right side
    210,852x = 216,135,729,216
  5. Step 5: Solve for x
    x = 216,135,729,216/210,852
  6. Step 6: Final answer
    x = 1,025,058.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.