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Finding the Third Proportional to 251,011 and 382,397

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Solution

The third proportional to 251,011 and 382,397 is: 582,554.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,011 : 382,397 = 382,397 : x
  2. Step 2: Convert to fraction form
    251,011/382,397 = 382,397/x
  3. Step 3: Cross multiply
    251,011x = 382,397 × 382,397
  4. Step 4: Simplify right side
    251,011x = 146,227,465,609
  5. Step 5: Solve for x
    x = 146,227,465,609/251,011
  6. Step 6: Final answer
    x = 582,554.01

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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.