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Finding the Third Proportional to 320,166 and 450,468

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Solution

The third proportional to 320,166 and 450,468 is: 633,800.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,166 : 450,468 = 450,468 : x
  2. Step 2: Convert to fraction form
    320,166/450,468 = 450,468/x
  3. Step 3: Cross multiply
    320,166x = 450,468 × 450,468
  4. Step 4: Simplify right side
    320,166x = 202,921,419,024
  5. Step 5: Solve for x
    x = 202,921,419,024/320,166
  6. Step 6: Final answer
    x = 633,800.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.