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Finding the Third Proportional to 208,596.52 and 446,706.14

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Solution

The third proportional to 208,596.52 and 446,706.14 is: 956,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,596.52 : 446,706.14 = 446,706.14 : x
  2. Step 2: Convert to fraction form
    208,596.52/446,706.14 = 446,706.14/x
  3. Step 3: Cross multiply
    208,596.52x = 446,706.14 × 446,706.14
  4. Step 4: Simplify right side
    208,596.52x = 199,546,376,072.08
  5. Step 5: Solve for x
    x = 199,546,376,072.08/208,596.52
  6. Step 6: Final answer
    x = 956,614.14

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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.