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Finding the Third Proportional to 353,451.75 and 529,023

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Solution

The third proportional to 353,451.75 and 529,023 is: 791,806.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,451.75 : 529,023 = 529,023 : x
  2. Step 2: Convert to fraction form
    353,451.75/529,023 = 529,023/x
  3. Step 3: Cross multiply
    353,451.75x = 529,023 × 529,023
  4. Step 4: Simplify right side
    353,451.75x = 279,865,334,529
  5. Step 5: Solve for x
    x = 279,865,334,529/353,451.75
  6. Step 6: Final answer
    x = 791,806.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.