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Finding the Third Proportional to 215,926 and 456,772

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Solution

The third proportional to 215,926 and 456,772 is: 966,260.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,926 : 456,772 = 456,772 : x
  2. Step 2: Convert to fraction form
    215,926/456,772 = 456,772/x
  3. Step 3: Cross multiply
    215,926x = 456,772 × 456,772
  4. Step 4: Simplify right side
    215,926x = 208,640,659,984
  5. Step 5: Solve for x
    x = 208,640,659,984/215,926
  6. Step 6: Final answer
    x = 966,260.01

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.