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Finding the Third Proportional to 207,908 and 456,412

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Solution

The third proportional to 207,908 and 456,412 is: 1,001,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,908 : 456,412 = 456,412 : x
  2. Step 2: Convert to fraction form
    207,908/456,412 = 456,412/x
  3. Step 3: Cross multiply
    207,908x = 456,412 × 456,412
  4. Step 4: Simplify right side
    207,908x = 208,311,913,744
  5. Step 5: Solve for x
    x = 208,311,913,744/207,908
  6. Step 6: Final answer
    x = 1,001,942.75

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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.