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Finding the Third Proportional to 209,577 and 332,001

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Solution

The third proportional to 209,577 and 332,001 is: 525,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,577 : 332,001 = 332,001 : x
  2. Step 2: Convert to fraction form
    209,577/332,001 = 332,001/x
  3. Step 3: Cross multiply
    209,577x = 332,001 × 332,001
  4. Step 4: Simplify right side
    209,577x = 110,224,664,001
  5. Step 5: Solve for x
    x = 110,224,664,001/209,577
  6. Step 6: Final answer
    x = 525,938.74

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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.