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Finding the Third Proportional to 207,847.50 and 448,905

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Solution

The third proportional to 207,847.50 and 448,905 is: 969,536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,847.50 : 448,905 = 448,905 : x
  2. Step 2: Convert to fraction form
    207,847.50/448,905 = 448,905/x
  3. Step 3: Cross multiply
    207,847.50x = 448,905 × 448,905
  4. Step 4: Simplify right side
    207,847.50x = 201,515,699,025
  5. Step 5: Solve for x
    x = 201,515,699,025/207,847.50
  6. Step 6: Final answer
    x = 969,536.31

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Why These Related Problems?

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