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Finding the Third Proportional to 208,474 and 491,641

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Solution

The third proportional to 208,474 and 491,641 is: 1,159,429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,474 : 491,641 = 491,641 : x
  2. Step 2: Convert to fraction form
    208,474/491,641 = 491,641/x
  3. Step 3: Cross multiply
    208,474x = 491,641 × 491,641
  4. Step 4: Simplify right side
    208,474x = 241,710,872,881
  5. Step 5: Solve for x
    x = 241,710,872,881/208,474
  6. Step 6: Final answer
    x = 1,159,429.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.