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Finding the Third Proportional to 207,264.50 and 446,240

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Solution

The third proportional to 207,264.50 and 446,240 is: 960,753.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,264.50 : 446,240 = 446,240 : x
  2. Step 2: Convert to fraction form
    207,264.50/446,240 = 446,240/x
  3. Step 3: Cross multiply
    207,264.50x = 446,240 × 446,240
  4. Step 4: Simplify right side
    207,264.50x = 199,130,137,600
  5. Step 5: Solve for x
    x = 199,130,137,600/207,264.50
  6. Step 6: Final answer
    x = 960,753.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.