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Finding the Third Proportional to 345,888 and 441,963

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Solution

The third proportional to 345,888 and 441,963 is: 564,724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,888 : 441,963 = 441,963 : x
  2. Step 2: Convert to fraction form
    345,888/441,963 = 441,963/x
  3. Step 3: Cross multiply
    345,888x = 441,963 × 441,963
  4. Step 4: Simplify right side
    345,888x = 195,331,293,369
  5. Step 5: Solve for x
    x = 195,331,293,369/345,888
  6. Step 6: Final answer
    x = 564,724.11

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.