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Finding the Third Proportional to 251,013 and 382,403

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Solution

The third proportional to 251,013 and 382,403 is: 582,567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,013 : 382,403 = 382,403 : x
  2. Step 2: Convert to fraction form
    251,013/382,403 = 382,403/x
  3. Step 3: Cross multiply
    251,013x = 382,403 × 382,403
  4. Step 4: Simplify right side
    251,013x = 146,232,054,409
  5. Step 5: Solve for x
    x = 146,232,054,409/251,013
  6. Step 6: Final answer
    x = 582,567.65

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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.