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Finding the Third Proportional to 250,988 and 382,364

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Solution

The third proportional to 250,988 and 382,364 is: 582,506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,988 : 382,364 = 382,364 : x
  2. Step 2: Convert to fraction form
    250,988/382,364 = 382,364/x
  3. Step 3: Cross multiply
    250,988x = 382,364 × 382,364
  4. Step 4: Simplify right side
    250,988x = 146,202,228,496
  5. Step 5: Solve for x
    x = 146,202,228,496/250,988
  6. Step 6: Final answer
    x = 582,506.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.