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Finding the Third Proportional to 207,430 and 448,063

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Solution

The third proportional to 207,430 and 448,063 is: 967,846.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,430 : 448,063 = 448,063 : x
  2. Step 2: Convert to fraction form
    207,430/448,063 = 448,063/x
  3. Step 3: Cross multiply
    207,430x = 448,063 × 448,063
  4. Step 4: Simplify right side
    207,430x = 200,760,451,969
  5. Step 5: Solve for x
    x = 200,760,451,969/207,430
  6. Step 6: Final answer
    x = 967,846.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.