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Finding the Third Proportional to 353,454.75 and 529,026.75

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Solution

The third proportional to 353,454.75 and 529,026.75 is: 791,810.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,454.75 : 529,026.75 = 529,026.75 : x
  2. Step 2: Convert to fraction form
    353,454.75/529,026.75 = 529,026.75/x
  3. Step 3: Cross multiply
    353,454.75x = 529,026.75 × 529,026.75
  4. Step 4: Simplify right side
    353,454.75x = 279,869,302,215.56
  5. Step 5: Solve for x
    x = 279,869,302,215.56/353,454.75
  6. Step 6: Final answer
    x = 791,810.84

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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.