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Finding the Third Proportional to 207,751.69 and 446,534.81

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Solution

The third proportional to 207,751.69 and 446,534.81 is: 959,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,751.69 : 446,534.81 = 446,534.81 : x
  2. Step 2: Convert to fraction form
    207,751.69/446,534.81 = 446,534.81/x
  3. Step 3: Cross multiply
    207,751.69x = 446,534.81 × 446,534.81
  4. Step 4: Simplify right side
    207,751.69x = 199,393,338,774.41
  5. Step 5: Solve for x
    x = 199,393,338,774.41/207,751.69
  6. Step 6: Final answer
    x = 959,767.60

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Why These Related Problems?

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