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Finding the Third Proportional to 208,423.88 and 424,214.25

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Solution

The third proportional to 208,423.88 and 424,214.25 is: 863,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,423.88 : 424,214.25 = 424,214.25 : x
  2. Step 2: Convert to fraction form
    208,423.88/424,214.25 = 424,214.25/x
  3. Step 3: Cross multiply
    208,423.88x = 424,214.25 × 424,214.25
  4. Step 4: Simplify right side
    208,423.88x = 179,957,729,903.06
  5. Step 5: Solve for x
    x = 179,957,729,903.06/208,423.88
  6. Step 6: Final answer
    x = 863,421.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.