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Finding the Third Proportional to 208,352 and 441,440

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Solution

The third proportional to 208,352 and 441,440 is: 935,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,352 : 441,440 = 441,440 : x
  2. Step 2: Convert to fraction form
    208,352/441,440 = 441,440/x
  3. Step 3: Cross multiply
    208,352x = 441,440 × 441,440
  4. Step 4: Simplify right side
    208,352x = 194,869,273,600
  5. Step 5: Solve for x
    x = 194,869,273,600/208,352
  6. Step 6: Final answer
    x = 935,288.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.