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Finding the Third Proportional to 208,426 and 424,218

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Solution

The third proportional to 208,426 and 424,218 is: 863,428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,426 : 424,218 = 424,218 : x
  2. Step 2: Convert to fraction form
    208,426/424,218 = 424,218/x
  3. Step 3: Cross multiply
    208,426x = 424,218 × 424,218
  4. Step 4: Simplify right side
    208,426x = 179,960,911,524
  5. Step 5: Solve for x
    x = 179,960,911,524/208,426
  6. Step 6: Final answer
    x = 863,428.32

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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.