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Finding the Third Proportional to 262,623 and 382,449

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Solution

The third proportional to 262,623 and 382,449 is: 556,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,623 : 382,449 = 382,449 : x
  2. Step 2: Convert to fraction form
    262,623/382,449 = 382,449/x
  3. Step 3: Cross multiply
    262,623x = 382,449 × 382,449
  4. Step 4: Simplify right side
    262,623x = 146,267,237,601
  5. Step 5: Solve for x
    x = 146,267,237,601/262,623
  6. Step 6: Final answer
    x = 556,947.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.