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Finding the Third Proportional to 207,997.50 and 456,570

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Solution

The third proportional to 207,997.50 and 456,570 is: 1,002,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,997.50 : 456,570 = 456,570 : x
  2. Step 2: Convert to fraction form
    207,997.50/456,570 = 456,570/x
  3. Step 3: Cross multiply
    207,997.50x = 456,570 × 456,570
  4. Step 4: Simplify right side
    207,997.50x = 208,456,164,900
  5. Step 5: Solve for x
    x = 208,456,164,900/207,997.50
  6. Step 6: Final answer
    x = 1,002,205.15

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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.