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Finding the Third Proportional to 209,577 and 331,998

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Solution

The third proportional to 209,577 and 331,998 is: 525,929.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,577 : 331,998 = 331,998 : x
  2. Step 2: Convert to fraction form
    209,577/331,998 = 331,998/x
  3. Step 3: Cross multiply
    209,577x = 331,998 × 331,998
  4. Step 4: Simplify right side
    209,577x = 110,222,672,004
  5. Step 5: Solve for x
    x = 110,222,672,004/209,577
  6. Step 6: Final answer
    x = 525,929.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.