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Finding the Third Proportional to 309,996 and 438,765

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Solution

The third proportional to 309,996 and 438,765 is: 621,023.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,996 : 438,765 = 438,765 : x
  2. Step 2: Convert to fraction form
    309,996/438,765 = 438,765/x
  3. Step 3: Cross multiply
    309,996x = 438,765 × 438,765
  4. Step 4: Simplify right side
    309,996x = 192,514,725,225
  5. Step 5: Solve for x
    x = 192,514,725,225/309,996
  6. Step 6: Final answer
    x = 621,023.26

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.