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Finding the Third Proportional to 208,625.63 and 446,770.69

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Solution

The third proportional to 208,625.63 and 446,770.69 is: 956,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,625.63 : 446,770.69 = 446,770.69 : x
  2. Step 2: Convert to fraction form
    208,625.63/446,770.69 = 446,770.69/x
  3. Step 3: Cross multiply
    208,625.63x = 446,770.69 × 446,770.69
  4. Step 4: Simplify right side
    208,625.63x = 199,604,047,209.22
  5. Step 5: Solve for x
    x = 199,604,047,209.22/208,625.63
  6. Step 6: Final answer
    x = 956,757.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.