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Finding the Third Proportional to 208,713.38 and 446,941.13

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Solution

The third proportional to 208,713.38 and 446,941.13 is: 957,084.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,713.38 : 446,941.13 = 446,941.13 : x
  2. Step 2: Convert to fraction form
    208,713.38/446,941.13 = 446,941.13/x
  3. Step 3: Cross multiply
    208,713.38x = 446,941.13 × 446,941.13
  4. Step 4: Simplify right side
    208,713.38x = 199,756,369,216.27
  5. Step 5: Solve for x
    x = 199,756,369,216.27/208,713.38
  6. Step 6: Final answer
    x = 957,084.66

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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.