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Finding the Third Proportional to 208,524 and 424,416

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Solution

The third proportional to 208,524 and 424,416 is: 863,828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,524 : 424,416 = 424,416 : x
  2. Step 2: Convert to fraction form
    208,524/424,416 = 424,416/x
  3. Step 3: Cross multiply
    208,524x = 424,416 × 424,416
  4. Step 4: Simplify right side
    208,524x = 180,128,941,056
  5. Step 5: Solve for x
    x = 180,128,941,056/208,524
  6. Step 6: Final answer
    x = 863,828.34

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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.