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Finding the Third Proportional to 353,408 and 759,552

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Solution

The third proportional to 353,408 and 759,552 is: 1,632,445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,408 : 759,552 = 759,552 : x
  2. Step 2: Convert to fraction form
    353,408/759,552 = 759,552/x
  3. Step 3: Cross multiply
    353,408x = 759,552 × 759,552
  4. Step 4: Simplify right side
    353,408x = 576,919,240,704
  5. Step 5: Solve for x
    x = 576,919,240,704/353,408
  6. Step 6: Final answer
    x = 1,632,445.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.