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Finding the Third Proportional to 233,694 and 381,566

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Solution

The third proportional to 233,694 and 381,566 is: 623,005.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,694 : 381,566 = 381,566 : x
  2. Step 2: Convert to fraction form
    233,694/381,566 = 381,566/x
  3. Step 3: Cross multiply
    233,694x = 381,566 × 381,566
  4. Step 4: Simplify right side
    233,694x = 145,592,612,356
  5. Step 5: Solve for x
    x = 145,592,612,356/233,694
  6. Step 6: Final answer
    x = 623,005.35

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.